Geometer: CPM Chapters 1-6 Period: DEAL. 7) Name the transformation(s) that are not isometric. Justify your answer.

Size: px
Start display at page:

Download "Geometer: CPM Chapters 1-6 Period: DEAL. 7) Name the transformation(s) that are not isometric. Justify your answer."

Transcription

1 Semester 1 Closure Geometer: CPM Chapters 1-6 Period: DEAL Take time to review the notes we have taken in class so far and previous closure packets. Look for concepts you feel very comfortable with and topics you need more help with. Look for connections between ideas as well as connections with material you learned previously. Chapter 1: Shapes and Transformations Chapter 2: Angles and Measurements Chapter 3: Justification and Similarity Chapter 4: Trigonometry and Probability Chapter 5: Completing the Triangle Toolkit Chapter 6: Congruent Triangles For questions 1-6, use the figure to the right. 1) What is different name for plane R. (answers will vary) plane ABC 2) What is different name for 1. _ BAD 3) What is different name for line m. AE or AD or DE 4) Name a pair of congruent segments. BD and DC 5) Name three collinear points. Points A, D, E or Points B, D, C 6) Name a pair of supplementary angles. (answers will vary) BDE or EDC 7) Name the transformation(s) that are not isometric. Justify your answer. A dilation is not isometric because the side lengths are not the same- does not preserve size. (Figures are isometric if the pre-image and images are congruent- same shape AND size.) 8) Using transformations show that a b. Translate 1 down along the line c making 1 and 2 supplementary. Since 1 and 2 were same side interior angles in the original picture. Therefore, if same side interior angles are supplementary, then the lines a and b are parallel. 9) Use the following regular hexagon to answer the following questions. A) Name the image of B after a 240 clockwise rotation about Z. point D B) Name the image of A reflected over FC. Point E

2 10) Find the measure of the numbered angles. m 1 = 110 m 1 = 112 m 1 = 138 m 1 = 80 m 2 = 80 m 3 = 100 m 4 = 80 11) Given a b cut by a transversal c, which of the following statements is NOT true. A) 1 and 3 are corresponding angles B) 2 and 3 are same-side int. angles C) 3 and 4 are vertical angles D) 1 and 4 are alternate int. angles 12) Refer to the diagram to answer the following questions: Assume the lines are parallel. A) Name a pair of same-side interior angles. Answers will vary (ex: 2 and 3) B) Name a pair of corresponding angles. Answers will vary (ex: 2 and 4) C) Name a pair of alternate interior angles. Answers will vary (ex: 2 and 6) 13) Write the coordinates of the vertices of the image ABCD for each transformation. A) Translation (x, y) (x + 4, y 2) A (7, 2), B (11, 2), C (10, -1), D (6, -1) B) reflection across x = -1 A (-5, 4), B (-9, 4), C (-8, 1), D (-4, 1) C) rotation of 180 o about the origin A(-3, -4), B (-7, -4), C (-6, -1), D (-2, -1) D) Dilation with scale factor of 2 about the origin A(6, 8), B(14, 8), C(12, 2), D(4, 2)

3 14) Complete the transformations below and then answer the corresponding questions. a. Reflect JKLM across the y-axis to form J K L M. Then rotate J K L M 90 o counterclockwiseabout the origin to form J K L M. b. What single rigid transformation transforms JKLM to J K L M? 180 o rotation about the origin K J L L K M M J 15) How many lines of symmetry does a square have? Hint: Draw a diagram. 4 lines of symmetry 16) Classify the triangle by its sides. a. equilateral b. isosceles 17) Classify the triangle by its angles. obtuse triangle 18) Find the value of x. x = 7

4 19) Find the value of x if AC = 20. X = 5 units 20) Find the value of x if B is the midpoint of AC. X = 6 units 21) Find m TQM. X = 28 m TQM =44 22) Find the value of x. x = 14 23) Find the value of x. x = 54 24) Find the measure of the sides of equilateral JKL if JK = 5x 7 and JL = 2x + 5. The measure of each side is 13 units.

5 25) QX bisects PQR. If m 1 = 4x -12 and m 2 = 2x + 6, find m XQR. m XQR = 24 26) Find the value of x. x = 16 27) Find the value of x and y. State geometric relationships used in solving. y = 79 triangle angle sum theorem, supplementary angle pair x = 47 alternate interior angles of parallel lines are congruent 28) Find the value of x and y. y = 3 units x = 3 2 units ratios Multiply each expression below. 29) (2d 3)(d + 4) 30) 2x(x + 3) 31) (r 5) 2 2d 2 + 5d 12 2x 2 + 6x r 2 10r ) Find the intersection of MN and LO. Point R

6 33) Find the slope of a line perpendicular to 3y + 2x = 4. m = ) What is the slope of the line that contains (6, -4) and (-4, 1)? m = ) Which pair of lines is perpendicular? a. y = 3x + 5 b. y = 4x 5 c. y = 5x 3 d. y = 2 x 11 3 y = -3x 8 y = 4x + 2 y = 1 5 x + 3 y = 3 2 x 5 36) Which pair of lines is parallel? a. y = 5x + 3 b. y = -2x 1 c. y = 3x + 8 d. x = 3 5x + y = 10 2x + y = 4 3x + y = 6 y = 3 37) a. Graph a line parallel to y = 3x 1 that contains (2, 3). b.write the equation of the new line in point slope form. y 3 = 3(x 2) 38) a. Graph a line perpendicular to y = 1 x 5 that contains (-2, 2). 2 b. Write the equation of the new line in slope-intercept form. y = 2x 2

7 39) What is the distance between (-1, 6) and (5, -2)? 10 units 40) The two rectangles are similar. Which is a correct proportion for corresponding sides? 4 m 12 m 8 m a. b. c. d. x 41) The Sears Tower in Chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower? ) Solve the proportion. m = 25 43) The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale. Ratios of the perimeters = 5 6 Ratios of the Areas = ) Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle. 5 ft 3 ft 9 ft 11 ft 5 3

8 45) You want to produce a scale drawing of your living room, which is 24 ft by 15 ft. If you use a scale of 4 in. = 6 ft, what will be the dimensions of your scale drawing? 10 in x 16 in 46) Figure. Name a pair of corresponding sides? TQ and BC 47) ABCD ~ WXYZ. AD = 6, DC = 3, and WZ = 59. Find YZ. The figures are not drawn to scale. B X A C W Zy D Z 29.5 units 48) Triangles ABC and DEF are similar. Find the lengths of AB and EF. A D 5x 5 E x F B 4 C AB = 10 units and EF = 2units 49) State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. If not similar, write not similar. a. ABD~ CBD by SAS~ b. CAB~ ZXY by AA~

9 50) Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not to scale m 51) Find the length of the missing sides. Then determine the perimeter of the triangle. 5 52) Find the length of the missing side. The triangle is not drawn to scale units 53) You traveled 10 miles east and then 8 miles south. Exactly how far are you from your starting point? x = 2 41 miles 54) Two students were asked to find the value of x in the figure. The equations they used are below. Decide whether each student is correct or incorrect. If the student is incorrect, explain what they did wrong and then show the correct equation. If the student was correct, write correct. Lee s equation: sin 57 = x 15 Jamila s equation: cos 33 = 15 x Incorrect. The hypotenuse is x and the opposite side is 15. Therefore the equation should be sin 57 = 15 x. Correct

10 55) Find the length of the leg. If your answer is not an integer, leave it in simplest radical form. Leg = Not drawn to scale 56) Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form. x y x = 30 units, y = 10 3 units 57) Write the tangent ratios for and. P Tan P = Tan Q = tangent ratios of complementary angles are reciprocals! R 20 Q Not drawn to scale 58) A large totem pole in the state of Washington is 100 feet tall. At a particular time of day, the totem pole casts a 249-foot-long shadow. Find the angle of elevation to the nearest degree. Draw a diagram to support your work! x = 22 59) Find the value of x. Round to the nearest tenth. 10 x = 8.1 units x Not drawn to scale

11 60) A spotlight is mounted on a wall 17.4 feet above the ground in an office building. It is used to light an entrance door 9.3 feet away. To the nearest degree, what is the angle of depression from the spotlight to the entrance door? θ =62 o 61) State whether the triangles are congruent. If so, write a congruence statement and the postulate or theorem you used. If not congruent, write not congruent. a. ADB CDB by SAS b. triangles are not congruent (no AA for congruent triangles) 62) If DLQ EMR, then which of the following are NOT true? a. LDQ MRE b. DLQ EMR c. RME QLD d. MRE LQD 63) XYZ ABC. What angle is congruent to Y? Y B 64) Write the converse of the conditional statement: If it is raining, then the ground is wet. If the ground is wet, then it is raining. 65) Is the following a statement a good definition? Explain. A square has four right angles. No, a rectangle also has 4 right angles. A better defition would include the fact that a square also has 4 congruent sides. 66) Find a counterexample for the statement: If two shapes are similar, then they are congruent. An equilateral triangle with side lengths 4 units and an equilateral triangle with side lengths 8 units.

12 67) State the postulate or theorem you can use to prove the triangles congruent. If the triangles cannot be proven congruent, write not possible. a) _ ASA or AAS b) SSS c) not possible d) ASA or AAS _ e) not possible f) HL g) HL h)sas or HL or SSS i) SAS j) ASA or AAS k) AAS or ASA i) not possible 68) Name a pair of overlapping congruent triangles. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL. ΔWZX ΔXYW by AAS 69) Which two sides must be congruent to use ASA to prove DMX JCX? DX JX 70) Which two angles must be congruent to use SAS to prove ADX CBX? D B

13 71) Are the triangles congruent? If so, write a congruence statement and justify your reasoning. If not, write not congruent. yes! ΔABC ΔEDC by HL 72) Given: AB DC AD BC Prove: ADC CBA Statements Reasons 1) AB DC 1) Given 2) AD BC 2) Given 3) BAC DCA 3) If lines parallel, then alternate interior angles congruent. 4) BCA DAC 4) If lines parallel, then alternate interior angles congruent. 5) AC AC 5) Reflexive Property of Congruence 6) ADC CBA 6) ASA 73) Given: EI and HF bisect each other at G. Prove: E I Statements Reasons 1) EI and HF bisect each other at G. 1) Given 2) EG GI 2) Definition of segment bisector 3) HG GF 3) Definition of segment bisector 4) EGF HGI 4) Vertical angles are congruent. 5) EGF IGH 5) SAS 6) E I 6) CPCTC

14 74) Given: MJ JK Prove: Statements KL ML JK ML JM KL Reasons 1) MJ JK 1) Given 2) KL ML 2) Given 3) JK ML 3) Given 4) J and L are right angles 4) Definfition of perpendicular 5) MJK and KLM are right triangles 5) Definition of right triangles 6) MK MK 6) Reflexive Propety of Congruence 7) MJK KLM 7) HL 8) JM KL 8) CPCTC 75) Given: AED is isosceles AB CD Prove: BEC is isosceles Statements 1) AED is isosceles with vertex E Reasons 1) Given 2) AB CD 2) Given 3) AE ED 3) Definition of isosceles triangle 4) A D 4) Base Angles of Isosceles Triangle Congruent 5) EAB EDC 5) SAS 6) BE CE 6) CPCTC 7) BEC is isosceles 7) Definition of isosceles triangle 76) Find the area and perimeter of ΔABC. Area = [ 1 (4)(4)] + 2 [1 (4 3)(4)] = units 2 Perimeter = units = units

15

Geometry Midterm Exam Review 3. Square BERT is transformed to create the image B E R T, as shown.

Geometry Midterm Exam Review 3. Square BERT is transformed to create the image B E R T, as shown. 1. Reflect FOXY across line y = x. 3. Square BERT is transformed to create the image B E R T, as shown. 2. Parallelogram SHAQ is shown. Point E is the midpoint of segment SH. Point F is the midpoint of

More information

Which statement is true about parallelogram FGHJ and parallelogram F ''G''H''J ''?

Which statement is true about parallelogram FGHJ and parallelogram F ''G''H''J ''? Unit 2 Review 1. Parallelogram FGHJ was translated 3 units down to form parallelogram F 'G'H'J '. Parallelogram F 'G'H'J ' was then rotated 90 counterclockwise about point G' to obtain parallelogram F

More information

Name: Class: Date: c. WZ XY and XW YZ. b. WZ ZY and XW YZ. d. WN NZ and YN NX

Name: Class: Date: c. WZ XY and XW YZ. b. WZ ZY and XW YZ. d. WN NZ and YN NX Class: Date: 2nd Semester Exam Review - Geometry CP 1. Complete this statement: A polygon with all sides the same length is said to be. a. regular b. equilateral c. equiangular d. convex 3. Which statement

More information

Geometry Final Review. Chapter 1. Name: Per: Vocab. Example Problems

Geometry Final Review. Chapter 1. Name: Per: Vocab. Example Problems Geometry Final Review Name: Per: Vocab Word Acute angle Adjacent angles Angle bisector Collinear Line Linear pair Midpoint Obtuse angle Plane Pythagorean theorem Ray Right angle Supplementary angles Complementary

More information

A plane can be names using a capital cursive letter OR using three points, which are not collinear (not on a straight line)

A plane can be names using a capital cursive letter OR using three points, which are not collinear (not on a straight line) Geometry - Semester 1 Final Review Quadrilaterals (Including some corrections of typos in the original packet) 1. Consider the plane in the diagram. Which are proper names for the plane? Mark all that

More information

0609ge. Geometry Regents Exam AB DE, A D, and B E.

0609ge. Geometry Regents Exam AB DE, A D, and B E. 0609ge 1 Juliann plans on drawing ABC, where the measure of A can range from 50 to 60 and the measure of B can range from 90 to 100. Given these conditions, what is the correct range of measures possible

More information

Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1

Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1 Name: Class: Date: Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1 Multiple Choice. Identify the choice that best completes the statement or answers the question. 1. Which statement(s)

More information

Geometry Honors: Midterm Exam Review January 2018

Geometry Honors: Midterm Exam Review January 2018 Name: Period: The midterm will cover Chapters 1-6. Geometry Honors: Midterm Exam Review January 2018 You WILL NOT receive a formula sheet, but you need to know the following formulas Make sure you memorize

More information

Honors Geometry Semester Review Packet

Honors Geometry Semester Review Packet Honors Geometry Semester Review Packet 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? 2) Are all linear pairs supplementary angles? Are all supplementary angles linear

More information

2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain.

2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain. 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? 2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain. 3) Explain why a four-legged

More information

Practice Test Student Answer Document

Practice Test Student Answer Document Practice Test Student Answer Document Record your answers by coloring in the appropriate bubble for the best answer to each question. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

More information

0809ge. Geometry Regents Exam Based on the diagram below, which statement is true?

0809ge. Geometry Regents Exam Based on the diagram below, which statement is true? 0809ge 1 Based on the diagram below, which statement is true? 3 In the diagram of ABC below, AB AC. The measure of B is 40. 1) a b ) a c 3) b c 4) d e What is the measure of A? 1) 40 ) 50 3) 70 4) 100

More information

Properties of Isosceles and Equilateral Triangles

Properties of Isosceles and Equilateral Triangles Properties of Isosceles and Equilateral Triangles In an isosceles triangle, the sides and the angles of the triangle are classified by their position in relation to the triangle s congruent sides. Leg

More information

Page 1 of 11 Name: 1) Which figure always has exactly four lines of reflection that map the figure onto itself? A) rectangle B) square C) regular octagon D) equilateral triangle ee4caab3 - Page 1 2) In

More information

Honors Geometry Mid-Term Exam Review

Honors Geometry Mid-Term Exam Review Class: Date: Honors Geometry Mid-Term Exam Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Classify the triangle by its sides. The

More information

0611ge. Geometry Regents Exam Line segment AB is shown in the diagram below.

0611ge. Geometry Regents Exam Line segment AB is shown in the diagram below. 0611ge 1 Line segment AB is shown in the diagram below. In the diagram below, A B C is a transformation of ABC, and A B C is a transformation of A B C. Which two sets of construction marks, labeled I,

More information

8-6. a: 110 b: 70 c: 48 d: a: no b: yes c: no d: yes e: no f: yes g: yes h: no

8-6. a: 110 b: 70 c: 48 d: a: no b: yes c: no d: yes e: no f: yes g: yes h: no Lesson 8.1.1 8-6. a: 110 b: 70 c: 48 d: 108 8-7. a: no b: yes c: no d: yes e: no f: yes g: yes h: no 8-8. b: The measure of an exterior angle of a triangle equals the sum of the measures of its remote

More information

Midpoint M of points (x1, y1) and (x2, y2) = 1 2

Midpoint M of points (x1, y1) and (x2, y2) = 1 2 Geometry Semester 1 Exam Study Guide Name Date Block Preparing for the Semester Exam Use notes, homework, checkpoints, quizzes, and tests to prepare. If you lost any of the notes, reprint them from my

More information

Geometry S1 (#2211) Foundations in Geometry S1 (#7771)

Geometry S1 (#2211) Foundations in Geometry S1 (#7771) Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: Geometry S1 (#2211) Foundations

More information

UNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1).

UNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). The dilation is Which statement is true? A. B. C. D. AB B' C' A' B' BC AB BC A' B' B' C' AB BC A' B' D'

More information

UNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1).

UNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). EOCT Practice Items 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). The dilation is Which statement is true? A. B. C. D. AB B' C' A' B' BC AB BC A' B'

More information

8-6. a: 110 b: 70 c: 48 d: a: no b: yes c: no d: yes e: no f: yes g: yes h: no

8-6. a: 110 b: 70 c: 48 d: a: no b: yes c: no d: yes e: no f: yes g: yes h: no Lesson 8.1.1 8-6. a: 110 b: 70 c: 48 d: 108 8-7. a: no b: yes c: no d: yes e: no f: yes g: yes h: no 8-8. b: The measure of an exterior angle of a triangle equals the sum of the measures of its remote

More information

Geometry - Review for Final Chapters 5 and 6

Geometry - Review for Final Chapters 5 and 6 Class: Date: Geometry - Review for Final Chapters 5 and 6 1. Classify PQR by its sides. Then determine whether it is a right triangle. a. scalene ; right c. scalene ; not right b. isoceles ; not right

More information

Geometry - Semester 1 Final Review Quadrilaterals

Geometry - Semester 1 Final Review Quadrilaterals Geometry - Semester 1 Final Review Quadrilaterals 1. Consider the plane in the diagram. Which are proper names for the plane? Mark all that apply. a. Plane L b. Plane ABC c. Plane DBC d. Plane E e. Plane

More information

Wahkiakum School District, Pre-EOC Geometry 2012

Wahkiakum School District, Pre-EOC Geometry 2012 Pre-EOC Assesment Geometry #1 Wahkiakum School District GEOM Page 1 1. What is the converse of If there are clouds in the sky, then it is raining? 2-2 A If it is raining, then there are clouds in the sky.

More information

Review for Geometry Midterm 2015: Chapters 1-5

Review for Geometry Midterm 2015: Chapters 1-5 Name Period Review for Geometry Midterm 2015: Chapters 1-5 Short Answer 1. What is the length of AC? 2. Tell whether a triangle can have sides with lengths 1, 2, and 3. 3. Danny and Dana start hiking from

More information

Question 1 (3 points) Find the midpoint of the line segment connecting the pair of points (3, -10) and (3, 6).

Question 1 (3 points) Find the midpoint of the line segment connecting the pair of points (3, -10) and (3, 6). Geometry Semester Final Exam Practice Select the best answer Question (3 points) Find the midpoint of the line segment connecting the pair of points (3, -0) and (3, 6). A) (3, -) C) (3, -) B) (3, 4.5)

More information

Answers. Chapter 9 A92. Angles Theorem (Thm. 5.6) then XZY. Base Angles Theorem (Thm. 5.6) 5, 2. then WV WZ;

Answers. Chapter 9 A92. Angles Theorem (Thm. 5.6) then XZY. Base Angles Theorem (Thm. 5.6) 5, 2. then WV WZ; 9 9. M, 0. M ( 9, 4) 7. If WZ XZ, then ZWX ZXW ; Base Angles Theorem (Thm..6). M 9,. M ( 4, ) 74. If XZ XY, then XZY Y; Base Angles Theorem (Thm..6). M, 4. M ( 9, ) 7. If V WZV, then WV WZ; Converse of

More information

Lesson. Warm Up deductive 2. D. 3. I will go to the store; Law of Detachment. Lesson Practice 31

Lesson. Warm Up deductive 2. D. 3. I will go to the store; Law of Detachment. Lesson Practice 31 Warm Up 1. deductive 2. D b. a and b intersect 1 and 2 are supplementary 2 and 3 are supplementary 3. I will go to the store; Law of Detachment Lesson Practice a. 1. 1 and 2 are. 2. 1 and 3 are. 3. m 1

More information

PRACTICE PROBLEMS CH 8 and Proofs

PRACTICE PROBLEMS CH 8 and Proofs GEOM PRACTICE PROBLEMS CH 8 and Proofs Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the missing side. The triangle is not drawn to

More information

Geometry First Semester Exam Review

Geometry First Semester Exam Review Geometry First Semester Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Name three points that are collinear. a. points T, Q, and R c. points

More information

Analytical Geometry- Common Core

Analytical Geometry- Common Core Analytical Geometry- Common Core 1. A B C is a dilation of triangle ABC by a scale factor of ½. The dilation is centered at the point ( 5, 5). Which statement below is true? A. AB = B C A B BC C. AB =

More information

0112ge. Geometry Regents Exam Line n intersects lines l and m, forming the angles shown in the diagram below.

0112ge. Geometry Regents Exam Line n intersects lines l and m, forming the angles shown in the diagram below. Geometry Regents Exam 011 011ge 1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would

More information

+ 10 then give the value

+ 10 then give the value 1. Match each vocabulary word to the picture. A. Linear Pair B. Vertical Angles P1 C. Angle Bisector D. Parallel Lines E. Orthocenter F. Centroid For questions 3 4 use the diagram below. Y Z X U W V A

More information

Math 3 Review Sheet Ch. 3 November 4, 2011

Math 3 Review Sheet Ch. 3 November 4, 2011 Math 3 Review Sheet Ch. 3 November 4, 2011 Review Sheet: Not all the problems need to be completed. However, you should look over all of them as they could be similar to test problems. Easy: 1, 3, 9, 10,

More information

0610ge. Geometry Regents Exam The diagram below shows a right pentagonal prism.

0610ge. Geometry Regents Exam The diagram below shows a right pentagonal prism. 0610ge 1 In the diagram below of circle O, chord AB chord CD, and chord CD chord EF. 3 The diagram below shows a right pentagonal prism. Which statement must be true? 1) CE DF 2) AC DF 3) AC CE 4) EF CD

More information

Unit 1. GSE Analytic Geometry EOC Review Name: Units 1 3. Date: Pd:

Unit 1. GSE Analytic Geometry EOC Review Name: Units 1 3. Date: Pd: GSE Analytic Geometry EOC Review Name: Units 1 Date: Pd: Unit 1 1 1. Figure A B C D F is a dilation of figure ABCDF by a scale factor of. The dilation is centered at ( 4, 1). 2 Which statement is true?

More information

Geometry. Midterm Review

Geometry. Midterm Review Geometry Midterm Review Class: Date: Geometry Midterm Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1 A plumber knows that if you shut off the water

More information

Final Exam Review Packet

Final Exam Review Packet Final Exam Review Packet Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the missing side. The triangle is not drawn to scale. 6 8 a.

More information

Not all triangles are drawn to scale. 3. Find the missing angles. Then, classify each triangle by it s angles.

Not all triangles are drawn to scale. 3. Find the missing angles. Then, classify each triangle by it s angles. Geometry Name: Date: Chapter 4 Practice Test Block: 1 2 3 4 5 6 7 8 Not all triangles are drawn to scale. 1. The given triangle would be classified as. A] Scalene B] Isosceles C] Equilateral D] none 20

More information

1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3. a cm b cm c cm d. 21.

1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3. a cm b cm c cm d. 21. FALL SEMESTER EXAM REVIEW (Chapters 1-6) CHAPTER 1 1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3 2. Find the length of PQ. a. 50.9 cm b. 46.3 cm c. 25.7 cm

More information

GEOMETRY ADDITIONAL PRACTICE ITEMS

GEOMETRY ADDITIONAL PRACTICE ITEMS GEOMETRY ADDITIONAL PRACTICE ITEMS Geometry Additional Practice Items This section has two parts. The first part is a set of 4 sample items for Geometry. The second part contains a table that shows for

More information

GEO REVIEW TEST #1. 1. In which quadrilateral are the diagonals always congruent?

GEO REVIEW TEST #1. 1. In which quadrilateral are the diagonals always congruent? GEO REVIEW TEST #1 Name: Date: 1. In which quadrilateral are the diagonals always congruent? (1) rectangle (3) rhombus 4. In the accompanying diagram, lines AB and CD intersect at point E. If m AED = (x+10)

More information

~ 1 ~ Geometry 2 nd Semester Review Find the value for the variable for each of the following situations

~ 1 ~ Geometry 2 nd Semester Review Find the value for the variable for each of the following situations Geometry nd Semester Review 018 Find the value for the variable for each of the following situations. 7. 400 m 1. 7 8. y. 8.9 cm 0 0 9.. 19 6 60 1 11 10. 45 4. 58 5 11. 5. 11 6. 18 1 slide 4.1 meters long

More information

12 Write a two-column proof.

12 Write a two-column proof. Name: Period: Date: ID: A Chapter 4 Review -- GH 1 Find each measure. m 1, m 2, m 3 9 Triangles ABC and AFD are vertical congruent equilateral triangles. Find x and y. 2 Determine whether PQR STU given

More information

right angle an angle whose measure is exactly 90ᴼ

right angle an angle whose measure is exactly 90ᴼ right angle an angle whose measure is exactly 90ᴼ m B = 90ᴼ B two angles that share a common ray A D C B Vertical Angles A D C B E two angles that are opposite of each other and share a common vertex two

More information

Honors Geometry Review Exercises for the May Exam

Honors Geometry Review Exercises for the May Exam Honors Geometry, Spring Exam Review page 1 Honors Geometry Review Exercises for the May Exam C 1. Given: CA CB < 1 < < 3 < 4 3 4 congruent Prove: CAM CBM Proof: 1 A M B 1. < 1 < 1. given. < 1 is supp to

More information

Geometry Problem Solving Drill 08: Congruent Triangles

Geometry Problem Solving Drill 08: Congruent Triangles Geometry Problem Solving Drill 08: Congruent Triangles Question No. 1 of 10 Question 1. The following triangles are congruent. What is the value of x? Question #01 (A) 13.33 (B) 10 (C) 31 (D) 18 You set

More information

Math 5 Trigonometry Fair Game for Chapter 1 Test Show all work for credit. Write all responses on separate paper.

Math 5 Trigonometry Fair Game for Chapter 1 Test Show all work for credit. Write all responses on separate paper. Math 5 Trigonometry Fair Game for Chapter 1 Test Show all work for credit. Write all responses on separate paper. 12. What angle has the same measure as its complement? How do you know? 12. What is the

More information

1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT.

1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. 1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would prove l m? 1) 2.5 2) 4.5 3)

More information

Geometry Cumulative Review

Geometry Cumulative Review Geometry Cumulative Review Name 1. Find a pattern for the sequence. Use the pattern to show the next term. 1, 3, 9, 27,... A. 81 B. 45 C. 41 D. 36 2. If EG = 42, find the value of y. A. 5 B. C. 6 D. 7

More information

Geometry GENERAL GEOMETRY

Geometry GENERAL GEOMETRY Geometry GENERAL GEOMETRY Essential Vocabulary: point, line, plane, segment, segment bisector, midpoint, congruence I can use the distance formula to determine the area and perimeters of triangles and

More information

End of Course Review

End of Course Review End of Course Review Geometry AIR Test Mar 14 3:07 PM Test blueprint with important areas: Congruence and Proof 33 39% Transformations, triangles (including ASA, SAS, SSS and CPCTC), proofs, coordinate/algebraic

More information

Geometry Midterm Review 18-19

Geometry Midterm Review 18-19 Class: Date: Geometry Midterm Review 18-19 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of BC. a. BC = 7 c. BC = 7 b. BC = 9 d. BC =

More information

NORTH THURSTON PUBLIC SCHOOLS END OF COURSE GEOMETRY PRACTICE TEST. Name: Date:

NORTH THURSTON PUBLIC SCHOOLS END OF COURSE GEOMETRY PRACTICE TEST. Name: Date: NORTH THURSTON PUBLIC SCHOOLS END OF COURSE GEOMETRY PRACTICE TEST Name: Date: Day 1 1. Determine the value of x if ΔABC is equilateral. B 7.5x 6x + 3 A Write your answer on the line. 10x 5 C What is the

More information

TRIANGLES CHAPTER 7. (A) Main Concepts and Results. (B) Multiple Choice Questions

TRIANGLES CHAPTER 7. (A) Main Concepts and Results. (B) Multiple Choice Questions CHAPTER 7 TRIANGLES (A) Main Concepts and Results Triangles and their parts, Congruence of triangles, Congruence and correspondence of vertices, Criteria for Congruence of triangles: (i) SAS (ii) ASA (iii)

More information

Geometry Midterm REVIEW

Geometry Midterm REVIEW Name: Class: Date: ID: A Geometry Midterm REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Given LM = MP and L, M, and P are not collinear. Draw

More information

Name: Class: Date: 5. If the diagonals of a rhombus have lengths 6 and 8, then the perimeter of the rhombus is 28. a. True b.

Name: Class: Date: 5. If the diagonals of a rhombus have lengths 6 and 8, then the perimeter of the rhombus is 28. a. True b. Indicate whether the statement is true or false. 1. If the diagonals of a quadrilateral are perpendicular, the quadrilateral must be a square. 2. If M and N are midpoints of sides and of, then. 3. The

More information

0612ge. Geometry Regents Exam

0612ge. Geometry Regents Exam 0612ge 1 Triangle ABC is graphed on the set of axes below. 3 As shown in the diagram below, EF intersects planes P, Q, and R. Which transformation produces an image that is similar to, but not congruent

More information

G.CO.6-9 ONLY COMMON CORE QUESTIONS

G.CO.6-9 ONLY COMMON CORE QUESTIONS Class: Date: G.CO.6-9 ONLY COMMON CORE QUESTIONS Multiple Choice Identify the choice that best completes the statement or answers the question. 1 The image of ABC after a rotation of 90º clockwise about

More information

Geometry Honors Final Exam REVIEW

Geometry Honors Final Exam REVIEW Class: Date: Geometry Honors Final Exam 2010-11 REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine whether the quadrilateral is a parallelogram.

More information

JEFFERSON MATH PROJECT REGENTS AT RANDOM

JEFFERSON MATH PROJECT REGENTS AT RANDOM JEFFERSON MATH PROJECT REGENTS AT RANDOM The NY Geometry Regents Exams Fall 2008-August 2009 Dear Sir I have to acknolege the reciept of your favor of May 14. in which you mention that you have finished

More information

Geometry Regents Practice Midterm

Geometry Regents Practice Midterm Class: Date: Geometry Regents Practice Midterm Multiple Choice Identify the choice that best completes the statement or answers the question. 1. ( points) What is the equation of a line that is parallel

More information

Writing: Answer each question with complete sentences. 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line?

Writing: Answer each question with complete sentences. 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? Writing: Answer each question with complete sentences. 1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? 2) Are all linear pairs supplementary angles? Are all supplementary

More information

Basic Quadrilateral Proofs

Basic Quadrilateral Proofs Basic Quadrilateral Proofs For each of the following, draw a diagram with labels, create the givens and proof statement to go with your diagram, then write a two-column proof. Make sure your work is neat

More information

0811ge. Geometry Regents Exam BC, AT = 5, TB = 7, and AV = 10.

0811ge. Geometry Regents Exam BC, AT = 5, TB = 7, and AV = 10. 0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 2) 8 3) 3 4) 6 2 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation

More information

Geometry Honors Review for Midterm Exam

Geometry Honors Review for Midterm Exam Geometry Honors Review for Midterm Exam Format of Midterm Exam: Scantron Sheet: Always/Sometimes/Never and Multiple Choice 40 Questions @ 1 point each = 40 pts. Free Response: Show all work and write answers

More information

THEOREMS WE KNOW PROJECT

THEOREMS WE KNOW PROJECT 1 This is a list of all of the theorems that you know and that will be helpful when working on proofs for the rest of the unit. In the Notes section I would like you to write anything that will help you

More information

Chapter 3 Cumulative Review Answers

Chapter 3 Cumulative Review Answers Chapter 3 Cumulative Review Answers 1a. The triangle inequality is violated. 1b. The sum of the angles is not 180º. 1c. Two angles are equal, but the sides opposite those angles are not equal. 1d. The

More information

New Jersey Center for Teaching and Learning. Progressive Mathematics Initiative

New Jersey Center for Teaching and Learning. Progressive Mathematics Initiative Slide 1 / 240 New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students

More information

Chapter 6 Summary 6.1. Using the Hypotenuse-Leg (HL) Congruence Theorem. Example

Chapter 6 Summary 6.1. Using the Hypotenuse-Leg (HL) Congruence Theorem. Example Chapter Summary Key Terms corresponding parts of congruent triangles are congruent (CPCTC) (.2) vertex angle of an isosceles triangle (.3) inverse (.4) contrapositive (.4) direct proof (.4) indirect proof

More information

Algebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA

Algebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA Algebra II/Geometry Dunmore School District Dunmore, PA Algebra II/Geometry Prerequisite: Successful completion of Algebra 1 Part 2 K Algebra II/Geometry is intended for students who have successfully

More information

0113ge. Geometry Regents Exam In the diagram below, under which transformation is A B C the image of ABC?

0113ge. Geometry Regents Exam In the diagram below, under which transformation is A B C the image of ABC? 0113ge 1 If MNP VWX and PM is the shortest side of MNP, what is the shortest side of VWX? 1) XV ) WX 3) VW 4) NP 4 In the diagram below, under which transformation is A B C the image of ABC? In circle

More information

Similarity of Triangle

Similarity of Triangle Similarity of Triangle 95 17 Similarity of Triangle 17.1 INTRODUCTION Looking around you will see many objects which are of the same shape but of same or different sizes. For examples, leaves of a tree

More information

Quarterly Assessment 2 STUDY GUIDE. Name: Date: Per: 1. The two triangle shaped rooms are congruent. Find the missing side lengths and angle measures.

Quarterly Assessment 2 STUDY GUIDE. Name: Date: Per: 1. The two triangle shaped rooms are congruent. Find the missing side lengths and angle measures. Quarterly ssessment 2 STUDY GUIDE Name: Date: Per: 1. The two triangle shaped rooms are congruent. Find the missing side lengths and angle measures. 48 o h 8 ft r 10.5 ft u 6ft s c 42 o a. c = 8 ft r =

More information

Relationships of Side Lengths and Angle Measures. Theorem: Practice: State the longest side of the triangle. Justify your answer.

Relationships of Side Lengths and Angle Measures. Theorem: Practice: State the longest side of the triangle. Justify your answer. 10R Unit 8 Similarity CW 8.1 Relationships of Side Lengths and Angle Measures HW: Worksheet #8.1 (following these notes) Theorem: Practice: 1. State the longest side of the triangle. Justify your answer..

More information

Unit 1 Review. To prove if a transformation preserves rigid motion, you can use the distance formula: Rules for transformations:

Unit 1 Review. To prove if a transformation preserves rigid motion, you can use the distance formula: Rules for transformations: Unit 1 Review Function Notation A function is a mathematical relation so that every in the corresponds with one in the. To evaluate a function, f(x), substitute the for every x and calculate. Example:

More information

Day 6: Triangle Congruence, Correspondence and Styles of Proof

Day 6: Triangle Congruence, Correspondence and Styles of Proof Name: Day 6: Triangle Congruence, Correspondence and Styles of Proof Date: Geometry CC (M1D) Opening Exercise Given: CE bisects BD Statements 1. bisects 1.Given CE BD Reasons 2. 2. Define congruence in

More information

Triangles. Example: In the given figure, S and T are points on PQ and PR respectively of PQR such that ST QR. Determine the length of PR.

Triangles. Example: In the given figure, S and T are points on PQ and PR respectively of PQR such that ST QR. Determine the length of PR. Triangles Two geometric figures having the same shape and size are said to be congruent figures. Two geometric figures having the same shape, but not necessarily the same size, are called similar figures.

More information

Name Geometry Common Core Regents Review Packet - 3. Topic 1 : Equation of a circle

Name Geometry Common Core Regents Review Packet - 3. Topic 1 : Equation of a circle Name Geometry Common Core Regents Review Packet - 3 Topic 1 : Equation of a circle Equation with center (0,0) and radius r Equation with center (h,k) and radius r ( ) ( ) 1. The endpoints of a diameter

More information

Higher Geometry Problems

Higher Geometry Problems Higher Geometry Problems (1) Look up Eucidean Geometry on Wikipedia, and write down the English translation given of each of the first four postulates of Euclid. Rewrite each postulate as a clear statement

More information

Triangle Congruence and Similarity Review. Show all work for full credit. 5. In the drawing, what is the measure of angle y?

Triangle Congruence and Similarity Review. Show all work for full credit. 5. In the drawing, what is the measure of angle y? Triangle Congruence and Similarity Review Score Name: Date: Show all work for full credit. 1. In a plane, lines that never meet are called. 5. In the drawing, what is the measure of angle y? A. parallel

More information

Cumulative Test. 101 Holt Geometry. Name Date Class

Cumulative Test. 101 Holt Geometry. Name Date Class Choose the best answer. 1. Which of PQ and QR contains P? A PQ only B QR only C Both D Neither. K is between J and L. JK 3x, and KL x 1. If JL 16, what is JK? F 7 H 9 G 8 J 13 3. SU bisects RST. If mrst

More information

Name: Class: Date: If AB = 20, BC = 12, and AC = 16, what is the perimeter of trapezoid ABEF?

Name: Class: Date: If AB = 20, BC = 12, and AC = 16, what is the perimeter of trapezoid ABEF? Class: Date: Analytic Geometry EOC Practice Questions Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the diagram below of circle O, chords AB and CD

More information

EOC Review MC Questions

EOC Review MC Questions Geometry EOC Review MC Questions Name Date Block You must show all work to receive full credit. - For every 5 answers that are correct, you may receive 5 extra points in the quiz category for a total of

More information

Geometry CP Semester 1 Review Packet. answers_december_2012.pdf

Geometry CP Semester 1 Review Packet.  answers_december_2012.pdf Geometry CP Semester 1 Review Packet Name: *If you lose this packet, you may print off your teacher s webpage. If you can t find it on their webpage, you can find one here: http://www.hfhighschool.org/assets/1/7/sem_1_review_packet

More information

Given that m A = 50 and m B = 100, what is m Z? A. 15 B. 25 C. 30 D. 50

Given that m A = 50 and m B = 100, what is m Z? A. 15 B. 25 C. 30 D. 50 UNIT : SIMILARITY, CONGRUENCE AND PROOFS ) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of. The dilation is centered at ( 4, ). ) Which transformation results in a figure that is similar

More information

0110ge. Geometry Regents Exam Which expression best describes the transformation shown in the diagram below?

0110ge. Geometry Regents Exam Which expression best describes the transformation shown in the diagram below? 0110ge 1 In the diagram below of trapezoid RSUT, RS TU, X is the midpoint of RT, and V is the midpoint of SU. 3 Which expression best describes the transformation shown in the diagram below? If RS = 30

More information

Higher Geometry Problems

Higher Geometry Problems Higher Geometry Problems (1 Look up Eucidean Geometry on Wikipedia, and write down the English translation given of each of the first four postulates of Euclid. Rewrite each postulate as a clear statement

More information

Pythagorean Theorem a= 6.4, b = 12, c = a = 2.1, b = 7.2, c = 7.5

Pythagorean Theorem a= 6.4, b = 12, c = a = 2.1, b = 7.2, c = 7.5 Pythagorean Theorem Do the following lengths form a right triangle? 1. 2. 3. 4. 5. a= 6.4, b = 12, c = 12.2 6. a = 2.1, b = 7.2, c = 7.5 Find each missing length to the nearest tenth. 1. 2. 3. 1 Find the

More information

Downloaded from

Downloaded from Triangles 1.In ABC right angled at C, AD is median. Then AB 2 = AC 2 - AD 2 AD 2 - AC 2 3AC 2-4AD 2 (D) 4AD 2-3AC 2 2.Which of the following statement is true? Any two right triangles are similar

More information

Notes: Review of Algebra I skills

Notes: Review of Algebra I skills Notes: Review of Algebra I skills http://www.monroeps.org/honors_geometry.aspx http://www.parklandsd.org/wp-content/uploads/hrs_geometry.pdf Name: Date: Period: Algebra Review: Systems of Equations * If

More information

7. m JHI = ( ) and m GHI = ( ) and m JHG = 65. Find m JHI and m GHI.

7. m JHI = ( ) and m GHI = ( ) and m JHG = 65. Find m JHI and m GHI. 1. Name three points in the diagram that are not collinear. 2. If RS = 44 and QS = 68, find QR. 3. R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w 1, and RT = 18. Use the Segment Addition

More information

Chapter 7. Geometric Inequalities

Chapter 7. Geometric Inequalities 4. Let m S, then 3 2 m R. Since the angles are supplementary: 3 2580 4568 542 Therefore, m S 42 and m R 38. Part IV 5. Statements Reasons. ABC is not scalene.. Assumption. 2. ABC has at least 2. Definition

More information

Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Ismailia Road Branch

Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Ismailia Road Branch Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Sheet Ismailia Road Branch Sheet ( 1) 1-Complete 1. in the parallelogram, each two opposite

More information

Use this space for computations. 1 In trapezoid RSTV below with bases RS and VT, diagonals RT and SV intersect at Q.

Use this space for computations. 1 In trapezoid RSTV below with bases RS and VT, diagonals RT and SV intersect at Q. Part I Answer all 28 questions in this part. Each correct answer will receive 2 credits. For each statement or question, choose the word or expression that, of those given, best completes the statement

More information

0616geo. Geometry CCSS Regents Exam x 2 + 4x = (y 2 20)

0616geo. Geometry CCSS Regents Exam x 2 + 4x = (y 2 20) 0616geo 1 A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation?

More information

Geometry Practice Midterm

Geometry Practice Midterm Class: Date: Geometry Practice Midterm 2018-19 1. If Z is the midpoint of RT, what are x, RZ, and RT? A. x = 19, RZ = 38, and RT = 76 C. x = 17, RZ = 76, and RT = 38 B. x = 17, RZ = 38, and RT = 76 D.

More information

JEFFERSON MATH PROJECT REGENTS AT RANDOM

JEFFERSON MATH PROJECT REGENTS AT RANDOM JEFFERSON MATH PROJECT REGENTS AT RANDOM The NY Geometry Regents Exams Fall 2008-January 2010 Dear Sir I have to acknolege the reciept of your favor of May 14. in which you mention that you have finished

More information

0811ge. Geometry Regents Exam

0811ge. Geometry Regents Exam 0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 ) 8 3) 3 4) 6 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation

More information