# Geometry Essentials ( ) Midterm Review. Chapter 1 For numbers 1 4, use the diagram below. 1. Classify as acute, obtuse, right or straight.

Size: px
Start display at page:

Download "Geometry Essentials ( ) Midterm Review. Chapter 1 For numbers 1 4, use the diagram below. 1. Classify as acute, obtuse, right or straight."

Transcription

1 Geometry Essentials ( ) Midterm Review Name: Chapter 1 For numbers 1 4, use the diagram below. 1. Classify as acute, obtuse, right or straight. 2. is a linear pair with what other angle? 3. Name an angle adjacent to. 4. Name an angle vertical to. 5. Find the value of x using the diagram below. 6. Two angles are complementary. The first angle measures 15 and the second angle measures 14. Find the measure of the second angle. Chapter 2 State the definition, property, postulate, or theorem that justifies each statement. 7. If X is the midpoint of, then. 8. If K P and P T, then K T. 9. If m W + m H = 90 and m H = 20, then m W + 20 = If A and B are complementary, then m A + m B = If then AT = DR. 12. AB + BC = AC

2 Chapter Find the slope of a line that is perpendicular to. 14. Write an equation in slope-intercept form for the line that passes through the point 1, 4 and is parallel to the linear graph of 2 5. For numbers 15 17, use the diagram to the right. 15. Name the relationship between angles 8 and 14 and tell whether they are congruent or supplementary. 16. Name the relationship between angles 5 and 13 and tell whether they are congruent or supplementary. 17. Name the relationship between angles 7 and 14 and tell whether they are congruent or supplementary. 18. Find the value of x. 19. Find the value of x.

3 Chapter Triangles ABC and PQR are congruent. Which statement about the triangles is true? a) A R b) C R c) AB RQ d) CB PQ 21. Which figure contains two congruent triangles? a) b) c) d) 22. Triangle ABC is congruent to triangle XYZ, as shown below. Which of the following statements must be true? a) m X = 45 b) m Z = 45 c)yz 3 cm d) XY 3 cm 23. If EFG HIJ, which of the following statements must be true? a) EFG JIH b) EFG IJH c) FEG IHJ d) FGE HIJ 24. Consider these statements. *No equilateral triangles are obtuse. *Triangle KJF is obtuse. Which conclusion can be made using both statements? a) Triangle KJF is scalene. b) Triangle KJF is not isosoceles. c) Triangle KJF is a right triangle. d) Triangle KJF is not equiangular.

4 25. Jeremy is proving the following theorem: If two angles are congruent to two angles of a second triangle, then the third angles of the triangles are congruent. Jeremy s proof is shown below. Given: Q T P S Prove: R V Statements Reasons 1. Q T 1. Given P S 2. m Q = m T 2. Definition of Congruency m P = m S 3. m P + m Q + m R = The interior angles of a triangle add to 180 m S + m T + m V = m P + m Q + m R = m S + m T + m V 4. Transitive Property of Equality 5.? 5. Substitution Property 6. m R = m V 6. Subtraction Property of Equality 7. R V 7. Definition of Congruency Which statement BEST represents Step 5 of Jeremy s proof? a) 180 = 180 b) 180 m R = 180 m V c) m P + m Q = m T + m S d) m P + m Q + m R = m P + m Q + m V 26. Manuel is trying to prove the following theorem. If two sides of a triangle are congruent, then the angles opposite these sides are congruent. First Manuel draws isosceles PQR, and then he adds an auxiliary line that bisects PQR. Q An incomplete version of Manuel s proof is shown below. Statements Reasons 1. PQ = RQ 1. Given 2. m PQS = m RQS 2. QS bisects PQR 3. QS = QS 3. Reflexive Property 4.? m QPS = m QRS 5. P S R What should be the statement for Step 4 of Manuel s proof? a) PQR is a right angle b) PQS RQS c) PSQ RSQ d)ps SR

5 27. The statements for a proof are shown. Statements Reasons 1. Parallelogram ABCD 1. Given B D AB DC ABX CDY BX DY 5. What is the reason that the statement in Step 5 is true? a) angle-side-angle b) side-angle-side c) Opposite sides of a parallelogram are congruent d) Corresponding parts of congruent triangles are congruent (CPCTC) 28. A triangle is shown. Which triangle is congruent to this triangle? a) b) c) d) 29. Triangle EFG is congruent to Triangle HIJ. What is the measure of Angle IJH? a) 24 b) 80 c) 156 d) Triangles ADC and BCD are shown below. What additional fact is needed to prove ADC BCD by the htpotenuse leg theorem? a) A B b) AC BD c) AD BC d) m A = m B = 45

6 31. In the figure below, XYZ XWZ. What is the length of XY? a) 7 b) 9 c) 10 d) In the figure to the right, QR SR and PR TR. Based only on the given information, which theorem could be used to prove PQR TSR? a) Side-Side-Side b) Side-Angle-Side c) Side-Side-Angle d) Angle-Side-Angle 33. If OMR STP, which relationship must be true. a) RM TS b) RO PS c) MRO PST d) RMO TPS 34. In the figure shown, M T, and R is the midpoint of MT. To prove MN TP, a student wrote the following 6 statements. 1. M T 2. R is the midpoint of MT 3. MR = TR 4. MRN TRP 5. MRN TRP 6. MN TP Which reason should the student give for statement 5? a) Side-Angle-Side b) Side-Angle-Angle c) Angle-Side-Angle d) Angle-Angle-Angle

7 35. A proof is shown below. Given: LM PQ and MT TP Prove: LMT QPT STATEMENT REASON 1. LM PQ and MT TP 1. Given 2. MLT PQT 2. Alternate Interior Angles Theorem 3. LTM QTP LMT QTP 4. Angle-Side-Angle Theorem Which reason is justification for statement 3? a) Angle Bisector Theorem b) Vertical Angles Theorem c) definition of congruent angles d) definition of congruent triangles 36. In the figure below, PQ RQ and PS RS. Based only on the given information, which theorem could be used to prove PQS RQS? a) Side-Side-Side b) Side-Side-Angle c) Side-Angle-Side d) Angle-Side-Angle 37. ABC is shown. Which value of x will prove ABC is a right triangle? a) x = 10 b) x = 30 c) x = 45 d) x = 91 A (3x) (2x + 1) B C (x 1) 38. Which statement describes a triangle that must be scalene? a) A triangle with all sides congruent. b) A triangle with all angles congruent. c) A triangle with 2 sides congruent. d) A triangle with no sides congruent. 39. Which statement is NOT enough information to prove the two triangles shown are congruent? a) A D and B E b) AC DFand A D c) AC DF and AB DE d) AC DFand B E

8 40. Which expression represents the missing x-coordinate for S? a) 3b b) 0 3 b 2 c) 0 3b d) cannot be determined 41. XY is the hypotenuse of right XYZ. Which of the following could be the coordinates of Z? a) (0, 0) b) ( 2, 2) c) ( 1, 2) d) (0, 2)

### 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

### 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

### 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

### 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'

### 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

### 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

### 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'

### LT 2.1 Study Guide and Intervention Classifying Triangles

LT 2.1 Study Guide and Intervention Classifying Triangles Classify Triangles by Angles One way to classify a triangle is by the measures of its angles. If all three of the angles of a triangle are acute

### 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

### 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

### 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

### Conditional statement:

Conditional statement: Hypothesis: Example: If the sun is shining, then it must be daytime. Conclusion: Label the hypothesis and conclusion for each of the following conditional statements: 1. If a number

### 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

### 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

### 1 What is the solution of the system of equations graphed below? y = 2x + 1

1 What is the solution of the system of equations graphed below? y = 2x + 1 3 As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon A'B'C'D'E'F'. y = x 2 + 2x

### 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

### 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)

### 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

### 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

### 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)

### 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)

### 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

### 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.

### 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

### 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

### 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

### 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

### Honors Geometry Term 1 Practice Final

Name: Class: Date: ID: A Honors Geometry Term 1 Practice Final Short Answer 1. RT has endpoints R Ê Ë Á 4,2 ˆ, T Ê ËÁ 8, 3 ˆ. Find the coordinates of the midpoint, S, of RT. 5. Line p 1 has equation y

### H. Math 2 Benchmark 1 Review

H. Math 2 enchmark 1 Review Name: ate: 1. Parallelogram C was translated to parallelogram C. 2. Which of the following is a model of a scalene triangle?.. How many units and in which direction were the

### 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

### Using Isosceles and Equilateral Triangles

Geometry Unit 4: Intro to Triangles Name Day 2: Isosceles, Equilateral, and Sum of Triangles Notes Block Date Today, we will understand isosceles and equilateral triangles And you will be able to find

### 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

### 9. AD = 7; By the Parallelogram Opposite Sides Theorem (Thm. 7.3), AD = BC. 10. AE = 7; By the Parallelogram Diagonals Theorem (Thm. 7.6), AE = EC.

3. Sample answer: Solve 5x = 3x + 1; opposite sides of a parallelogram are congruent; es; You could start b setting the two parts of either diagonal equal to each other b the Parallelogram Diagonals Theorem

### +2 u, 2s ) [D] ( r+ t + u, 2s )

1. Isosceles trapezoid JKLM has legs JK and LM, and base KL. If JK = 3x + 6, KL = 9x 3, and LM = 7x 9. Find the value of x. [A] 15 4 [] 3 4 [] 3 [] 3 4. Which best describes the relationship between the

### Name: 2015 Midterm Review Period: Date:

GEOMETRY Name: 2015 Midterm Review Period: Date: To be prepared for your midterm, you will need to PRACTICE PROBLEMS and STUDY TERMS from the following chapters. Use this guide to help you practice. UNIT

### 6 CHAPTER. Triangles. A plane figure bounded by three line segments is called a triangle.

6 CHAPTER We are Starting from a Point but want to Make it a Circle of Infinite Radius A plane figure bounded by three line segments is called a triangle We denote a triangle by the symbol In fig ABC has

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

### 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

### G.GPE.B.4: Quadrilaterals in the Coordinate Plane 2

Regents Exam Questions www.jmap.org Name: 1 In square GEOM, the coordinates of G are (2, 2) and the coordinates of O are ( 4,2). Determine and state the coordinates of vertices E and M. [The use of the

### Name: GEOMETRY: EXAM (A) A B C D E F G H D E. 1. How many non collinear points determine a plane?

GMTRY: XM () Name: 1. How many non collinear points determine a plane? ) none ) one ) two ) three 2. How many edges does a heagonal prism have? ) 6 ) 12 ) 18 ) 2. Name the intersection of planes Q and

### 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

### (b) the equation of the perpendicular bisector of AB. [3]

HORIZON EDUCATION SINGAPORE Additional Mathematics Practice Questions: Coordinate Geometr 1 Set 1 1 In the figure, ABCD is a rhombus with coordinates A(2, 9) and C(8, 1). The diagonals AC and BD cut at

### Midterm Review Packet. Geometry: Midterm Multiple Choice Practice

: Midterm Multiple Choice Practice 1. In the diagram below, a square is graphed in the coordinate plane. A reflection over which line does not carry the square onto itself? (1) (2) (3) (4) 2. A sequence

### UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 9: Proving Theorems About Triangles Instruction

Prerequisite Skills This lesson requires the use of the following skills: identifying and using vertical angles, supplementary angles, and complementary angles to find unknown angle measures recognizing

### IB MYP Unit 6 Review

Name: Date: 1. Two triangles are congruent if 1. A. corresponding angles are congruent B. corresponding sides and corresponding angles are congruent C. the angles in each triangle have a sum of 180 D.

### Unit 4-Review. Part 1- Triangle Theorems and Rules

Unit 4-Review - Triangle Theorems and Rules Name of Theorem or relationship In words/ Symbols Diagrams/ Hints/ Techniques 1. Side angle relationship 2. Triangle inequality Theorem 3. Pythagorean Theorem

### 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

### 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

### Chapter 4 Review Formal Geometry Name: Period: Due on the day of your test:

Multiple Choice Identif the choice that best completes the statement or answers the question. 1. In the figure, what is the m 3?. 97 B. 62 97 2 C. 48. 35 35 1 3 2. In the figure, PR SU and QT QU. What

### Geometry Chapter 3 & 4 Test

Class: Date: Geometry Chapter 3 & 4 Test Use the diagram to find the following. 1. What are three pairs of corresponding angles? A. angles 1 & 2, 3 & 8, and 4 & 7 C. angles 1 & 7, 8 & 6, and 2 & 4 B. angles

### 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

### 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

### 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

### 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

### 2. In ABC, the measure of angle B is twice the measure of angle A. Angle C measures three times the measure of angle A. If AC = 26, find AB.

2009 FGCU Mathematics Competition. Geometry Individual Test 1. You want to prove that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex. Which postulate/theorem

### Proofs Practice Proofs Worksheet #2

Name: No. Per: Date: Serafino Geometry M T W R F 2C Proofs Practice Proofs Worksheet #2 1. Given: O is the midpoint of MN Prove: OW = ON OM = OW 1. O is the midpoint of seg MN Given 2. Segment NO = Segment

### 2. A diagonal of a parallelogram divides it into two congruent triangles. 5. Diagonals of a rectangle bisect each other and are equal and vice-versa.

QURILTERLS 1. Sum of the angles of a quadrilateral is 360. 2. diagonal of a parallelogram divides it into two congruent triangles. 3. In a parallelogram, (i) opposite sides are equal (ii) opposite angles

### Honors Geometry Midterm Questions

2015-16 Honors Geometry Midterm Questions Name 1. What is the midpoint of a line that has endpoints at (0, 3) and (6, -1)? A. (12, 2) B. (3, 1) C. (12, -5) D. (3, 2) 2. 3. If X is the midpoint of CN and

### 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

### 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

### Geometry 21 - More Midterm Practice

Class: Date: Geometry 21 - More Midterm Practice 1. What are the names of three planes that contain point A? 6. If T is the midpoint of SU, what are ST, TU, and SU? A. ST = 7, TU = 63, and SU = 126 B.

### Geometry Semester 1 Exam Released

1. Use the diagram. 3. In the diagram, mlmn 54. L 5 1 4 3 2 Which best describes the pair of angles 1 and 4? (A) complementary (B) linear pair (C) supplementary (D) vertical 2. Use the diagram. E F A B

### Geometry Note Cards EXAMPLE:

Geometry Note Cards EXAMPLE: Lined Side Word and Explanation Blank Side Picture with Statements Sections 12-4 through 12-5 1) Theorem 12-3 (p. 790) 2) Theorem 12-14 (p. 790) 3) Theorem 12-15 (p. 793) 4)

### 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

### Geometry AIR Test. Mar 14-3:07 PM. coordinate/algebraic proofs, parallel and perpendicular lines, distance formula, midpoint formula.

Geometry AIR Test Mar 14-3:07 PM Congruence and Proof 33-39% coordinate/algebraic proofs, parallel and perpendicular lines, distance formula, midpoint formula. missing sides on triangles (trig ratios,

### 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

### Geometry Unit 2 Review Show all work and follow the criteria for credit.

Competency 1: Angles and Angle Bisectors 1. What is the classification of an angle that has a measure of less than 90 o? 4. Given the diagram below where BD is an angle bisector. A D 2. Given the following

### Honors Geometry Exam Review January 2015

Class: Date: Honors Geometry Exam Review January 2015 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. How many planes can be drawn through any three noncollinear

### SOLUTIONS SECTION A [1] = 27(27 15)(27 25)(27 14) = 27(12)(2)(13) = cm. = s(s a)(s b)(s c)

1. (A) 1 1 1 11 1 + 6 6 5 30 5 5 5 5 6 = 6 6 SOLUTIONS SECTION A. (B) Let the angles be x and 3x respectively x+3x = 180 o (sum of angles on same side of transversal is 180 o ) x=36 0 So, larger angle=3x

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

### Midterm Study Guide Assessment. Question 1. Find the angle measure. (28x + 14) (16x + 62) The measure of the angles are. 11/30/2018 Print Assignment

Question 1. Find the angle measure. (28x + 14) (16x + 62) The measure of the angles are. https://my.hrw.com/wwtb2/viewer/printall_vs5.html?sf2tt3dnj49xcldd29v4qfjhw0nq0ker6b1uuwkuupca0a5fsymn1tdn7y3prlf19pv779ludnoev4cldd29v4

### 10.1 Tangents to Circles. Geometry Mrs. Spitz Spring 2005

10.1 Tangents to Circles Geometry Mrs. Spitz Spring 2005 Objectives/Assignment Identify segments and lines related to circles. Use properties of a tangent to a circle. Assignment: Chapter 10 Definitions

### Geometry Semester 1 REVIEW

Name: Class: Date: ID: A Geometry Semester 1 REVIEW 1. The figure below is a rectangular shipping box. Name two different planes that contain BC. 2. Find BC. 3. The endpoints of GH are GÊ Ë Á 6, 9 ˆ and

### Maharashtra State Board Class IX Mathematics Geometry Board Paper 1 Solution

Maharashtra State Board Class IX Mathematics Geometry Board Paper Solution Time: hours Total Marks: 40. i. Let the measure of each interior opposite angle be x. Since, Sum of two interior opposite angles

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

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

### 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

### 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

### 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

### Year 9 Term 3 Homework

Yimin Math Centre Year 9 Term 3 Homework Student Name: Grade: Date: Score: Table of contents 5 Year 9 Term 3 Week 5 Homework 1 5.1 Geometry (Review)................................... 1 5.1.1 Angle sum

### Chapter 6. Worked-Out Solutions AB 3.61 AC 5.10 BC = 5

27. onstruct a line ( DF ) with midpoint P parallel to and twice the length of QR. onstruct a line ( EF ) with midpoint R parallel to and twice the length of QP. onstruct a line ( DE ) with midpoint Q

### 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

### Int. Geometry Units 1-6 Review 1

Int. Geometry Units 1-6 Review 1 Things to note about this review and the Unit 1-6 Test: 1. This review packet covers major ideas of the first six units, but it does not show examples of all types of problems..

### 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

### 4-1 Classifying Triangles (pp )

Vocabulary acute triangle.............. 216 auxiliary line............... 223 base....................... 273 base angle.................. 273 congruent polygons......... 231 coordinate proof............

### Triangles. Chapter Flowchart. The Chapter Flowcharts give you the gist of the chapter flow in a single glance.

Triangles Chapter Flowchart The Chapter Flowcharts give you the gist of the chapter flow in a single glance. Triangle A plane figure bounded by three line segments is called a triangle. Types of Triangles

### 5. Using a compass and straightedge, construct a bisector of the angle shown below. [Leave all construction marks.]

Name: Regents Review Session Two Date: Common Core Geometry 1. The diagram below shows AB and DE. Which transformation will move AB onto DE such that point D is the image of point A and point E is the

### Suggested problems - solutions

Suggested problems - solutions Parallel lines Material for this section references College Geometry: A Discovery Approach, 2/e, David C. Kay, Addison Wesley, 2001. In particular, see section 4.1, pp 219-223.

### 6 LINES AND ANGLES EXERCISE 6.1. Q.1. In the figure lines AB and CD intersect at O. If AOC + BOE = 70 and BOD = 40, find BOE and reflex COE.

6 LINES AND ANGLES EXERCISE 6.1 Q.1. In the figure lines AB and CD intersect at O. If AOC + BOE = 70 and BOD = 40, find BOE and reflex COE. Sol. Lines AB and CD intersect at O. AOC + BOE = 70 (Given) (1)

### Postulates and Theorems in Proofs

Postulates and Theorems in Proofs A Postulate is a statement whose truth is accepted without proof A Theorem is a statement that is proved by deductive reasoning. The Reflexive Property of Equality: a

### Name: Date: Period: 1. In the diagram below,. [G.CO.6] 2. The diagram below shows a pair of congruent triangles, with and. [G.CO.

Name: Date: Period: Directions: Read each question carefully and choose the best answer for each question. You must show LL of your work to receive credit. 1. In the diagram below,. [G.CO.6] Which statement

### Common Core Readiness Assessment 4

ommon ore Readiness ssessment 4 1. Use the diagram and the information given to complete the missing element of the two-column proof. 2. Use the diagram and the information given to complete the missing

### 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

### 4-6 Isosceles and Equilateral Triangles. Refer to the figure. 1. If name two congruent angles. ANSWER: BAC and BCA

Refer to the figure. 1. If name two congruent angles. BAC and BCA 2. If EAC ECA, name two congruent segments. 6. 16 7. PROOF Write a two-column proof. Given: is isosceles; bisects ABC. Prove: Find each

### ANALYTICAL GEOMETRY Revision of Grade 10 Analytical Geometry

ANALYTICAL GEOMETRY Revision of Grade 10 Analtical Geometr Let s quickl have a look at the analtical geometr ou learnt in Grade 10. 8 LESSON Midpoint formula (_ + 1 ;_ + 1 The midpoint formula is used

### Indicate the answer choice that best completes the statement or answers the question.

Indicate the answer choice that best completes the statement or answers the question. ANIMATION Find the translation that moves the figure on the coordinate plane. Given the following information, determine

### ACTIVITY 15 Continued Lesson 15-2

Continued PLAN Pacing: 1 class period Chunking the Lesson Examples A, B Try These A B #1 2 Example C Lesson Practice TEACH Bell-Ringer Activity Read the introduction with students and remind them of the

### 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

### 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