Los Angeles Unified School District Periodic Assessments. Geometry. Assessment 2 ASSESSMENT CODE LA08_G_T2_TST_31241

Size: px
Start display at page:

Download "Los Angeles Unified School District Periodic Assessments. Geometry. Assessment 2 ASSESSMENT CODE LA08_G_T2_TST_31241"

Transcription

1 Los Angeles Unified School District Periodic Assessments Assessment Los Angeles Unified School District Periodic Assessments LA08_G_T2_TST_31241 ASSESSMENT ODE

2 The test items contained herein are the copyrighted material of either LAUSD or Educational Testing Service (and used by LAUSD under license). All rights reserved. Unauthorized reproduction is strictly prohibited. Please contact LAUSD or ETS for further information on rights to these materials.

3 DIRETIONS: Read each question and choose the correct answer. Mark the space for the answer you have chosen on your answer sheet. 1 If a quadrilateral has four equal sides, then that quadrilateral is a square. Which of the following is a counterexample to the statement above? A rectangle trapezoid pentagon D rhombus 2 Which of the following best describes the parallelograms below? A neither similar nor congruent both similar and congruent congruent but not similar D similar but not congruent

4 3 In the figure below, A D. A 1 3 D 2 4 Which of the following would prove that A and AD are congruent? 4 Which of the following shapes are similar but NOT congruent? A A m 1 = m 4 A A m 2 = m 4 D D D 2

5 5 In the triangles below, EF HI and FG IJ. F I E G H J Which additional information would be enough to prove that EFG A E H EG HJ G J D EG HI HIJ? 6 In the figure below, DA. A x x D ased on the given information and the figure shown, what postulate or theorem could be used to prove A DA? A SSS AAS ASA D SAS

6 7 A triangle has sides with lengths of 2 and 5 inches. Which of the following could be the perimeter of the triangle? A 9 inches 10 inches 12 inches D 14 inches 8 What is the length of a side of the square below? 2x + 6 3x + 2 A D 56 9 Given the figure below, what additional information would be sufficient to prove that A and ED are similar? A D E A m 2 = m 6 m 3 = m 4 m 1 = m 2 D m 4 = m 6

7 10 In the triangles below, A XY and A X. Z A X Y Which additional information would NOT be sufficient to prove that A A A XZ Y YZ D Z XYZ? 11 A right triangle has legs of lengths 3 and 7. What is the length of the hypotenuse? A D 58

8 12 Quadrilaterals AD and HIJK are shown below. I J A D H K Which of the following facts would prove that AD and HIJK are similar? I. JK is twice as long as D. II. A and H are congruent. III. is parallel to AD, and IJ is parallel to HK. A I only I and II II and III D I, II, and III 13 A fence built around a field has the dimensions shown below. 13 yd. 5 yd. What is the approximate length around the entire fence? A 12 yd. 18 yd. 30 yd. D 32 yd.

9 14 The quadrilateral AD is a parallelogram. Which of the following statements would prove that AD is a rhombus? A Adjacent angles are supplementary. The diagonals are equal. Opposite angles are equal. D All sides are equal. 15 What type of triangle is formed by the points A( 1, 2), (1, 2) and (4, 2)? A right equilateral isosceles D scalene 17 What values of a and b make quadrilateral AD a parallelogram? a + 2b A 4a b A a = 13 3, b = 19 3 a = 19 3, b = 13 3 a = 5, b = 3 D a = 3, b = 5 17 D Felix is performing a construction as shown below. D E What is Felix trying to construct? A an altitude a median a parallel line D a perpendicular bisector

10 18 Look at the figure below. y 19 What type of triangle would be constructed using the steps below? O A(a, b) (a + c, c) M N O (c, 0) If OA is a rhombus, which of the following statements are true? I. a 2 + b 2 = c 2 II. (Slope A ) (Slope O ) = 1 A I and II neither I nor II I only D II only x 1. Put the tip of the compass on point M. 2. Open the pencil tip so that it extends past point N. 3. Draw an arc above MN. 4. Without adjusting the width of the compass, place the tip on point N and draw an arc that intersects the first arc at point O. 5. Draw a line segment from point O to point M and from point O to point N. A right scalene isosceles D equilateral

11 20 Look at the figure below. y (?,?) (b, c) O A(a, 0) x If OA is a parallelogram, what are the coordinates of point? A Not enough information (b a, c a) (a b, c) D (b a, c) STOP

12 LA08_G_T2_TST_31241

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

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

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

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

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name: GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, January 27, 2011 9:15 a.m. to 12:15 p.m., only Student Name: School Name: Print your name and the name

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name: GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, August 17, 2011 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of

More information

Indicate whether the statement is true or false.

Indicate whether the statement is true or false. PRACTICE EXAM IV Sections 6.1, 6.2, 8.1 8.4 Indicate whether the statement is true or false. 1. For a circle, the constant ratio of the circumference C to length of diameter d is represented by the number.

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

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

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.

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

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

2013 ACTM Regional Geometry Exam

2013 ACTM Regional Geometry Exam 2013 TM Regional Geometry Exam In each of the following choose the EST answer and record your choice on the answer sheet provided. To insure correct scoring, be sure to make all erasures completely. The

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

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

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

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

Geometry Note Cards EXAMPLE:

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)

More information

H. Math 2 Benchmark 1 Review

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

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

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

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

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

More information

Common Core Readiness Assessment 4

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

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

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

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

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

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

1 st Preparatory. Part (1)

1 st Preparatory. Part (1) Part (1) (1) omplete: 1) The square is a rectangle in which. 2) in a parallelogram in which m ( ) = 60, then m ( ) =. 3) The sum of measures of the angles of the quadrilateral equals. 4) The ray drawn

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

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

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

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

Basic Trigonometry. Trigonometry deals with the relations between the sides and angles of triangles.

Basic Trigonometry. Trigonometry deals with the relations between the sides and angles of triangles. Basic Trigonometry Trigonometry deals with the relations between the sides and angles of triangles. A triangle has three sides and three angles. Depending on the size of the angles, triangles can be: -

More information

Geometry Semester 1 Exam Released

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

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 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

Incoming Magnet Precalculus / Functions Summer Review Assignment

Incoming Magnet Precalculus / Functions Summer Review Assignment Incoming Magnet recalculus / Functions Summer Review ssignment Students, This assignment should serve as a review of the lgebra and Geometry skills necessary for success in recalculus. These skills were

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

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

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

0114ge. Geometry Regents Exam 0114

0114ge. Geometry Regents Exam 0114 0114ge 1 The midpoint of AB is M(4, 2). If the coordinates of A are (6, 4), what are the coordinates of B? 1) (1, 3) 2) (2, 8) 3) (5, 1) 4) (14, 0) 2 Which diagram shows the construction of a 45 angle?

More information

Skills Practice Skills Practice for Lesson 9.1

Skills Practice Skills Practice for Lesson 9.1 Skills Practice Skills Practice for Lesson.1 Name Date Meeting Friends The Distance Formula Vocabular Define the term in our own words. 1. Distance Formula Problem Set Archaeologists map the location of

More information

GEOMETRY. Part I. _,_ c. August 2010

GEOMETRY. Part I. _,_ c. August 2010 GEOMETRY Part I nswer all 28 questions in this part. Each correct answer will receive,',"eliits. No partial credit will be allowed. For each question, write on the "pnce provided the numeral preceding

More information

Nozha Directorate of Education Form : 2 nd Prep

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

More information

Midterm Review Packet. Geometry: Midterm Multiple Choice Practice

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

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

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXMINTION GEOMETRY Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m., only Student Name: Notice School Name: Print your name and the

More information

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.

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

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

Section 8.1 Objective: Students will be able to solve equations to find angle measures (supplementary and complementary).

Section 8.1 Objective: Students will be able to solve equations to find angle measures (supplementary and complementary). Lincoln Public Schools Math 8 McDougall Littell Middle School Math Course 3 Chapter 8 Items marked A, B, C are increasing in difficulty. Group A questions are the most basic while Group C are the most

More information

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

+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

More information

Quads. 4. In the accompanying figure, ABCD is a parallelogram, m A = 2x + 35, and m C = 5x 22. Find the value of x.

Quads. 4. In the accompanying figure, ABCD is a parallelogram, m A = 2x + 35, and m C = 5x 22. Find the value of x. Name: Date: 1. In the accompanying diagram of rhombus ACD, the lengths of the sides A and C are represented by 3x 4 and 2x + 1, respectively. Find the value of x. 4. In the accompanying figure, ACD is

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

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

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

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

Proofs. by Bill Hanlon

Proofs. by Bill Hanlon Proofs by Bill Hanlon Future Reference To prove congruence, it is important that you remember not only your congruence theorems, but know your parallel line theorems, and theorems concerning triangles.

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

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

Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition. GEOMETRY and MEASUREMENT GRADE 7-8

Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition. GEOMETRY and MEASUREMENT GRADE 7-8 Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition INSTRUCTIONS GEOMETRY and MEASUREMENT GRADE 7-8 Do not open this booklet until instructed to do so. Time limit: 20 minutes Mark your

More information

A. 180 B. 108 C. 360 D. 540

A. 180 B. 108 C. 360 D. 540 Part I - Multiple Choice - Circle your answer: 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C. eight D. ten 3. The sum of the interior

More information

1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle?

1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle? 1 For all problems, NOTA stands for None of the Above. 1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle? (A) 40 (B) 60 (C) 80 (D) Cannot be determined

More information

MPM 2DI EXAM REVIEW. Monday, June 19, :30 AM 1:00 PM * A PENCIL, SCIENTIFIC CALCULATOR AND RULER ARE REQUIRED *

MPM 2DI EXAM REVIEW. Monday, June 19, :30 AM 1:00 PM * A PENCIL, SCIENTIFIC CALCULATOR AND RULER ARE REQUIRED * NAME: MPM DI EXAM REVIEW Monday, June 19, 017 11:30 AM 1:00 PM * A PENCIL, SCIENTIFIC CALCULATOR AND RULER ARE REQUIRED * Please Note: Your final mark in this course will be calculated as the better of:

More information

Arkansas Council of Teachers of Mathematics 2012 State Competition Geometry Exam. B. 28 (5x-41) 3 m (2x+25)

Arkansas Council of Teachers of Mathematics 2012 State Competition Geometry Exam. B. 28 (5x-41) 3 m (2x+25) rkansas ouncil of Teachers of Mathematics 2012 State ompetition Geometry Exam For questions 1 through 25, mark your answer choice on the answer sheet provided. (Figures may not be drawn to scale.) fter

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

Class 9 Quadrilaterals

Class 9 Quadrilaterals ID : in-9-quadrilaterals [1] Class 9 Quadrilaterals For more such worksheets visit www.edugain.com Answer t he quest ions (1) The diameter of circumcircle of a rectangle is 13 cm and rectangle's width

More information

Common Core Readiness Assessment 3

Common Core Readiness Assessment 3 Common Core Readiness ssessment 3 1. B 3. Find the value of x. D E 2y24 y15 C y13 2x If you know that DE y C, and that D and E are midpoints, which of the following justifies that C 5 2DE? Triangle Midsegment

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

); 5 units 5. x = 3 6. r = 5 7. n = 2 8. t =

); 5 units 5. x = 3 6. r = 5 7. n = 2 8. t = . Sample answer: dilation with center at the origin and a scale factor of 1 followed b a translation units right and 1 unit down 5. Sample answer: reflection in the -axis followed b a dilation with center

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

Introduction - Geometry

Introduction - Geometry L I F O R N I S T N R S T E S T Introduction - The following released test questions are taken from the Standards Test. This test is one of the alifornia Standards Tests administered as part of the Standardized

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

Pythagoras Theorem and Its Applications

Pythagoras Theorem and Its Applications Lecture 10 Pythagoras Theorem and Its pplications Theorem I (Pythagoras Theorem) or a right-angled triangle with two legs a, b and hypotenuse c, the sum of squares of legs is equal to the square of its

More information

GM1.1 Answers. Reasons given for answers are examples only. In most cases there are valid alternatives. 1 a x = 45 ; alternate angles are equal.

GM1.1 Answers. Reasons given for answers are examples only. In most cases there are valid alternatives. 1 a x = 45 ; alternate angles are equal. Cambridge Essentials Mathematics Extension 8 GM1.1 Answers GM1.1 Answers Reasons given for answers are examples only. In most cases there are valid alternatives. 1 a x = 45 ; alternate angles are equal.

More information

Chapter 1. Some Basic Theorems. 1.1 The Pythagorean Theorem

Chapter 1. Some Basic Theorems. 1.1 The Pythagorean Theorem hapter 1 Some asic Theorems 1.1 The ythagorean Theorem Theorem 1.1 (ythagoras). The lengths a b < c of the sides of a right triangle satisfy the relation a 2 + b 2 = c 2. roof. b a a 3 2 b 2 b 4 b a b

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

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

Distance. Warm Ups. Learning Objectives I can find the distance between two points. Football Problem: Bailey. Watson

Distance. Warm Ups. Learning Objectives I can find the distance between two points. Football Problem: Bailey. Watson Distance Warm Ups Learning Objectives I can find the distance between two points. Football Problem: Bailey Watson. Find the distance between the points (, ) and (4, 5). + 4 = c 9 + 6 = c 5 = c 5 = c. Using

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

Pre-Algebra Chapter 9 Spatial Thinking

Pre-Algebra Chapter 9 Spatial Thinking Pre-Algebra Chapter 9 Spatial Thinking SOME NUMBERED QUESTIONS HAVE BEEN DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLE-CHOICE QUESTIONS, AND THEREFORE YOU SHOULD NOT USE ONE

More information

2005 Palm Harbor February Invitational Geometry Answer Key

2005 Palm Harbor February Invitational Geometry Answer Key 005 Palm Harbor February Invitational Geometry Answer Key Individual 1. B. D. C. D 5. C 6. D 7. B 8. B 9. A 10. E 11. D 1. C 1. D 1. C 15. B 16. B 17. E 18. D 19. C 0. C 1. D. C. C. A 5. C 6. C 7. A 8.

More information

TENTH YEAR MATHEMATICS

TENTH YEAR MATHEMATICS The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION TENTH YEAR MATHEMATICS Thursday, January 26, 1989-1:1.5 to 4:1.5 p.m., only The last page of the booklet is the answer sheet. Fold

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

Chapter 6. Worked-Out Solutions. Chapter 6 Maintaining Mathematical Proficiency (p. 299)

Chapter 6. Worked-Out Solutions. Chapter 6 Maintaining Mathematical Proficiency (p. 299) hapter 6 hapter 6 Maintaining Mathematical Proficiency (p. 99) 1. Slope perpendicular to y = 1 x 5 is. y = x + b 1 = + b 1 = 9 + b 10 = b n equation of the line is y = x + 10.. Slope perpendicular to y

More information

Test Corrections for Unit 1 Test

Test Corrections for Unit 1 Test MUST READ DIRECTIONS: Read the directions located on www.koltymath.weebly.com to understand how to properly do test corrections. Ask for clarification from your teacher if there are parts that you are

More information

CBSE Class IX Syllabus. Mathematics Class 9 Syllabus

CBSE Class IX Syllabus. Mathematics Class 9 Syllabus Mathematics Class 9 Syllabus Course Structure First Term Units Unit Marks I Number System 17 II Algebra 25 III Geometry 37 IV Co-ordinate Geometry 6 V Mensuration 5 Total 90 Second Term Units Unit Marks

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE II. Wednesday, August 16, :30 to 11:30 a.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE II. Wednesday, August 16, :30 to 11:30 a.m. The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE II Wednesday, August 16, 000 8:30 to 11:30 a.m., only Notice... Scientific

More information

2012 GCSE Maths Tutor All Rights Reserved

2012 GCSE Maths Tutor All Rights Reserved 2012 GCSE Maths Tutor All Rights Reserved www.gcsemathstutor.com This book is under copyright to GCSE Maths Tutor. However, it may be distributed freely provided it is not sold for profit. Contents angles

More information

Kansas City Area Teachers of Mathematics 2016 KCATM Math Competition

Kansas City Area Teachers of Mathematics 2016 KCATM Math Competition Kansas City Area Teachers of Mathematics 2016 KCATM Math Competition GEOMETRY AND MEASUREMENT TEST GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes Mark your

More information

Year 9 Term 3 Homework

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

More information

1) Use the figure below to name the following figures: 2) Identify the plane containing D, E, and C. 3) Two lines cross at. 4) Two planes cross at

1) Use the figure below to name the following figures: 2) Identify the plane containing D, E, and C. 3) Two lines cross at. 4) Two planes cross at Geometry Semester 1 Final Exam Mixed Review Name: 1) Use the figure below to name the following figures: 2) Identify the plane containing D, E, and C. a) line b) ray c) Opposite rays d) Only adjacent angles

More information

Indicate the answer choice that best completes the statement or answers the question. Find the volume of the solid.

Indicate the answer choice that best completes the statement or answers the question. Find the volume of the solid. Indicate the answer choice that best completes the statement or answers the question. Find the volume of the solid. A. 252.4 cm 3 B. 126.2 cm 3 C. 492.2 cm 3 D. 703.8 cm 3 F. 576 G. 288 H. 240 I. 336 Powered

More information

chapter 1 vector geometry solutions V Consider the parallelogram shown alongside. Which of the following statements are true?

chapter 1 vector geometry solutions V Consider the parallelogram shown alongside. Which of the following statements are true? chapter vector geometry solutions V. Exercise A. For the shape shown, find a single vector which is equal to a)!!! " AB + BC AC b)! AD!!! " + DB AB c)! AC + CD AD d)! BC + CD!!! " + DA BA e) CD!!! " "

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

Geometric Structures

Geometric Structures Geometric Structures 3 Hour Exams & Final Fall 2003 Exam I Page 1 Exam II Page 6 Exam III Page 10 Final Exam Page 14 Oklahoma State University Terry Williams, Instructor Geometric Structures Exam I Fall

More information

Name: 2015 Midterm Review Period: Date:

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

More information

NCERT SOLUTIONS OF Mensuration Exercise 2

NCERT SOLUTIONS OF Mensuration Exercise 2 NCERT SOLUTIONS OF Mensuration Exercise 2 1 Question 1 The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them

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

0116ge. Geometry Regents Exam RT and SU intersect at O.

0116ge. Geometry Regents Exam RT and SU intersect at O. Geometry Regents Exam 06 06ge What is the equation of a circle with its center at (5, ) and a radius of 3? ) (x 5) + (y + ) = 3 ) (x 5) + (y + ) = 9 3) (x + 5) + (y ) = 3 4) (x + 5) + (y ) = 9 In the diagram

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

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