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

Size: px
Start display at page:

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

Transcription

1 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 for C? 1) 0 to 40 ) 30 to 50 3) 80 to 90 4) 10 to In the diagram below, under which transformation will A B C be the image of ABC? In the diagram of ABC and DEF below, AB DE, A D, and B E. 1) rotation ) dilation 3) translation 4) glide reflection Which method can be used to prove ABC DEF? 1) SSS ) SAS 3) ASA 4) HL 4 The lateral faces of a regular pyramid are composed of 1) squares ) rectangles 3) congruent right triangles 4) congruent isosceles triangles 5 Point A is located at (4, 7). The point is reflected in the x-axis. Its image is located at 1) ( 4,7) ) ( 4, 7) 3) (4,7) 4) (7, 4) 1

2 6 In the diagram of circle O below, chords AB and CD are parallel, and BD is a diameter of the circle. 8 After a composition of transformations, the coordinates A(4,), B(4,6), and C(,6) become A (, 1), B (, 3), and C ( 1, 3), as shown on the set of axes below. If mad = 60, what is m CDB? 1) 0 ) 30 3) 60 4) 10 7 What is an equation of the line that passes through the point (,5) and is perpendicular to the line whose equation is y = 1 x + 5? 1) y = x + 1 ) y = x + 1 3) y = x + 9 4) y = x 9 Which composition of transformations was used? 1) R 180 D ) R 90 D 3) D 1 R 180 4) D 1 R 90 9 In an equilateral triangle, what is the difference between the sum of the exterior angles and the sum of the interior angles? 1) 180 ) 10 3) 90 4) What is an equation of a circle with its center at ( 3,5) and a radius of 4? 1) (x 3) + (y + 5) = 16 ) (x + 3) + (y 5) = 16 3) (x 3) + (y + 5) = 4 4) (x + 3) + (y 5) = 4

3 11 In ABC, m A = 95, m B = 50, and m C = 35. Which expression correctly relates the lengths of the sides of this triangle? 1) AB < BC < CA ) AB < AC < BC 3) AC < BC < AB 4) BC < AC < AB 15 In the diagram below, the length of the legs AC and BC of right triangle ABC are 6 cm and 8 cm, respectively. Altitude CD is drawn to the hypotenuse of ABC. 1 In a coordinate plane, how many points are both 5 units from the origin and units from the x-axis? 1) 1 ) 3) 3 4) 4 13 What is the contrapositive of the statement, If I am tall, then I will bump my head? 1) If I bump my head, then I am tall. ) If I do not bump my head, then I am tall. 3) If I am tall, then I will not bump my head. 4) If I do not bump my head, then I am not tall. What is the length of AD to the nearest tenth of a centimeter? 1) 3.6 ) 6.0 3) 6.4 4) In the diagram below, tangent AB and secant ACD are drawn to circle O from an external point A, AB = 8, and AC = In the diagram of ABC below, Jose found centroid P by constructing the three medians. He measured CF and found it to be 6 inches. If PF = x, which equation can be used to find x? 1) x + x = 6 ) x + x = 6 3) 3x + x = 6 4) x + 3 x = 6 What is the length of CD? 1) 16 ) 13 3) 1 4) 10 3

4 17 In the diagram of ABC and EDC below, AE and BD intersect at C, and CAB CED. 19 Square LMNO is shown in the diagram below. Which method can be used to show that must be similar to EDC? 1) SAS ) AA 3) SSS 4) HL ABC 18 Point P is on line m. What is the total number of planes that are perpendicular to line m and pass through point P? 1) 1 ) 3) 0 4) infinite What are the coordinates of the midpoint of diagonal LN? 1) 4 1, 1 ) 3 1,3 1 3) 1,3 1 4) 1,4 1 4

5 0 Which graph represents a circle with the equation (x 5) + (y + 1) = 9? 1 In the diagram below, a right circular cone has a diameter of 8 inches and a height of 1 inches. 1) What is the volume of the cone to the nearest cubic inch? 1) 01 ) 481 3) 603 4) 804 ) A circle is represented by the equation x + (y + 3) = 13. What are the coordinates of the center of the circle and the length of the radius? 1) (0,3) and 13 ) (0,3) and 13 3) (0, 3) and 13 4) (0, 3) and 13 3) 3 Given the system of equations: y = x 4x x = 4 The number of points of intersection is 1) 1 ) 3) 3 4) 0 4) 5

6 4 Side PQ of PQR is extended through Q to point T. Which statement is not always true? 1) m RQT > m R ) m RQT > m P 3) m RQT = m P + m R 4) m RQT > m PQR 8 In three-dimensional space, two planes are parallel and a third plane intersects both of the parallel planes. The intersection of the planes is a 1) plane ) point 3) pair of parallel lines 4) pair of intersecting lines 5 Which illustration shows the correct construction of an angle bisector? 1) 9 In the diagram of ABC below, AB = 10, BC = 14, and AC = 16. Find the perimeter of the triangle formed by connecting the midpoints of the sides of ABC. ) 3) 4) 30 Using a compass and straightedge, construct a line that passes through point P and is perpendicular to line m. [Leave all construction marks.] 6 Which equation represents a line perpendicular to the line whose equation is x + 3y = 1? 1) 6y = 4x + 1 ) y = 3x + 6 3) y = 3x + 6 4) 3y = x In ABC, point D is on AB, and point E is on BC such that DE AC. If DB =, DA = 7, and DE = 3, what is the length of AC? 1) 8 ) 9 3) ) Find an equation of the line passing through the point (5,4) and parallel to the line whose equation is x + y = 3. 6

7 3 The length of AB is 3 inches. On the diagram below, sketch the points that are equidistant from A and B and sketch the points that are inches from A. Label with an X all points that satisfy both conditions. 33 Given: Two is an even integer or three is an even integer. Determine the truth value of this disjunction. Justify your answer. 35 In the diagram below, circles X and Y have two tangents drawn to them from external point T. The points of tangency are C, A, S, and E. The ratio of TA to AC is 1:3. If TS = 4, find the length of SE. 34 In the diagram below, ABC EFG, m C = 4x + 30, and m G = 5x Determine the value of x. 7

8 36 Triangle ABC has coordinates A( 6,), B( 3,6), and C(5,0). Find the perimeter of the triangle. Express your answer in simplest radical form. [The use of the grid below is optional.] 37 The coordinates of the vertices of parallelogram ABCD are A(,), B(3,5), C(4,), and D( 1, 1). State the coordinates of the vertices of parallelogram A B C D that result from the transformation r y axis T, 3. [The use of the set of axes below is optional. ] 38 Given: ABC and EDC, C is the midpoint of BD and AE Prove: AB DE 8

9 ID: A 0609ge Answer Section 1 ANS: 1 If A is at minimum (50 ) and B is at minimum (90 ), C is at maximum of 40 (180 - ( )). If A is at maximum (60 ) and B is at maximum (100 ), C is at minimum of 0 (180 - ( )). PTS: REF: ge STA: G.G.30 TOP: Interior and Exterior Angles of Triangles ANS: 3 PTS: REF: 06090ge STA: G.G.8 TOP: Triangle Congruency 3 ANS: 1 PTS: REF: ge STA: G.G.56 TOP: Identifying Transformations 4 ANS: 4 PTS: REF: ge STA: G.G.13 TOP: Solids 5 ANS: 3 PTS: REF: ge STA: G.G.54 TOP: Reflections KEY: basic 6 ANS: Parallel chords intercept congruent arcs. mad = mbc = 60. m CDB = 1 mbc = 30. PTS: REF: ge STA: G.G.5 TOP: Chords 7 ANS: The slope of y = 1 x + 5 is 1. The slope of a perpendicular line is. y = mx + b. 5 = ( )( ) + b PTS: REF: ge STA: G.G.64 TOP: Parallel and Perpendicular Lines 8 ANS: 3 PTS: REF: ge STA: G.G.60 TOP: Identifying Transformations 9 ANS: 1 In an equilateral triangle, each interior angle is 60 and each exterior angle is 10 ( ). The sum of the three interior angles is 180 and the sum of the three exterior angles is 360. PTS: REF: ge STA: G.G.30 TOP: Interior and Exterior Angles of Triangles 10 ANS: PTS: REF: ge STA: G.G.71 TOP: Equations of Circles 11 ANS: Longest side of a triangle is opposite the largest angle. Shortest side is opposite the smallest angle. 1 b = 1 PTS: REF: ge STA: G.G.34 TOP: Angle Side Relationship

10 ID: A 1 ANS: 4 PTS: REF: 06091ge STA: G.G.3 TOP: Locus 13 ANS: 4 PTS: REF: ge STA: G.G.6 TOP: Conditional Statements 14 ANS: The centroid divides each median into segments whose lengths are in the ratio : 1. PTS: REF: ge STA: G.G.43 TOP: Centroid 15 ANS: 1 AB = 10 since ABC is a triangle. 6 = 10x 3.6 = x PTS: REF: ge STA: G.G.47 TOP: Similarity KEY: leg 16 ANS: 3 4(x + 4) = 8 4x + 16 = 64 x = 1 PTS: REF: ge STA: G.G.53 TOP: Segments Intercepted by Circle KEY: tangent and secant 17 ANS: ACB and ECD are congruent vertical angles and CAB CED. PTS: REF: ge STA: G.G.44 TOP: Similarity Proofs 18 ANS: 1 PTS: REF: ge STA: G.G. TOP: Planes 19 ANS: 4 M x = = 5. M y = = 9. PTS: REF: ge STA: G.G.66 TOP: Midpoint 0 ANS: 1 PTS: REF: 06090ge STA: G.G.74 TOP: Graphing Circles 1 ANS: 1 V = 1 3 πr h = 1 3 π PTS: REF: 06091ge STA: G.G.15 TOP: Volume and Lateral Area ANS: 4 PTS: REF: 0609ge STA: G.G.73 TOP: Equations of Circles

11 ID: A 3 ANS: 1 y = x 4x = (4) 4(4) = 0. (4,0) is the only intersection. PTS: REF: 06093ge STA: G.G.70 TOP: Quadratic-Linear Systems 4 ANS: 4 (4) is not true if PQR is obtuse. PTS: REF: 06094ge STA: G.G.3 TOP: Exterior Angle Theorem 5 ANS: 3 PTS: REF: 06095ge STA: G.G.17 TOP: Constructions 6 ANS: The slope of x + 3y = 1 is A B = 3. The slope of a perpendicular line is 3. Rewritten in slope intercept form, () becomes y = 3 x + 3. PTS: REF: 06096ge STA: G.G.63 TOP: Parallel and Perpendicular Lines 7 ANS: 4 ABC DBE. AB DB = AC DE 9 = x 3 x = 13.5 PTS: REF: 06097ge STA: G.G.46 TOP: Side Splitter Theorem 8 ANS: 3 PTS: REF: 06098ge STA: G.G.8 TOP: Planes 9 ANS: 0. The sides of the triangle formed by connecting the midpoints are half the sides of the original triangle = 0. PTS: REF: 06099ge STA: G.G.4 TOP: Midsegments 3

12 ID: A 30 ANS: PTS: REF: ge STA: G.G.19 TOP: Constructions 31 ANS: y = x The slope of x + y = 3 is A B = =. y = mx + b 1. 4 = ( )(5) + b b = 14 PTS: REF: ge STA: G.G.65 TOP: Parallel and Perpendicular Lines 3 ANS: PTS: REF: 06093ge STA: G.G. TOP: Locus 33 ANS: True. The first statement is true and the second statement is false. In a disjunction, if either statement is true, the disjunction is true. PTS: REF: ge STA: G.G.5 TOP: Compound Statements KEY: disjunction 4

13 ID: A 34 ANS: 0. 5x + 10 = 4x + 30 x = 0 PTS: REF: ge STA: G.G.45 TOP: Similarity KEY: basic 35 ANS: 18. If the ratio of TA to AC is 1:3, the ratio of TE to ES is also 1:3. x + 3x = 4. 3(6) = 18. x = 6 PTS: 4 REF: ge STA: G.G.50 TOP: Tangents KEY: common tangency 36 ANS: PTS: 4 REF: ge STA: G.G.69 TOP: Triangles in the Coordinate Plane 37 ANS: PTS: 4 REF: ge STA: G.G.54 TOP: Compositions of Transformations KEY: grids 5

14 ID: A 38 ANS: AC EC and DC BC because of the definition of midpoint. ACB ECD because of vertical angles. ABC EDC because of SAS. CDE CBA because of CPCTC. BD is a transversal intersecting AB and ED. Therefore AB DE because CDE and CBA are congruent alternate interior angles. PTS: 6 REF: ge STA: G.G.7 TOP: Triangle Proofs 6

### 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

### 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

### 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

### 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

### 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

### 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?

### 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

### 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,

### 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

### 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

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

GEOMETRY The University of the State of New Yk REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, June 16, 2009 9:15 a.m. to 12:15 p.m., only Student Name: School Name: Print your name and the name of your

### 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

### Which composition of transformations was used?. ~... t (I) R D2 (3) DI R I80 "2 (2) Ryoo0 D2

36 Part nswer all 28 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, record your answer in the space provided. 1. Juliann plans

### 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

### 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

### 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

### 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)

### 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

### 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

### JMAP REGENTS BY DATE. The NY Geometry Regents Exams Fall, 2008-January,

JMAP REGENTS BY DATE The NY Geometry Regents Exams Fall, 008-January, 014 Geometry Regents Exam Test Sampler fall08 fall08ge 1 Isosceles trapezoid ABCD has diagonals AC and BD. If AC = 5x + 13 and BD =

### 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

### JEFFERSON MATH PROJECT REGENTS BY PERFORMANCE INDICATOR: TOPIC

JEFFERSON MATH PROJECT REGENTS BY PERFORMANCE INDICATOR: TOPIC NY Geometry Regents Exam Questions from Fall 2008 to August 2010 Sorted by PI: Topic Dear Sir I have to acknolege the reciept of your favor

### 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

### 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

### 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

### 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?

### JMAP REGENTS AT RANDOM

JMAP REGENTS AT RANDOM The NY Geometry Regents Exams Fall 008-January 014 Geometry Regents at Random 1 Which equation represents a line that is parallel to the line whose equation is 3x y = 7? 1) y = 3

### 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

### --- -._==--:--.AL-.- -'m"" _ 1/ \ \.. / 6 -6 \/4. ...v

10 Part Answer all 8 questions in this part. Each correct answer will receive credits. No partial credit will be allowed. For each question, write in the space provided the numeral preceding the word or

### 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

### 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

### 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. 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?

### 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

### 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

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

### 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

### 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

### 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

### 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 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

### Geometry M1: Unit 3 Practice Exam

Class: Date: Geometry M1: Unit 3 Practice Exam Short Answer 1. What is the value of x? 2. What is the value of x? 3. What is the value of x? 1 4. Find the value of x. The diagram is not to scale. Given:

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Wednesday, June 19, :15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, June 19, 2013 9:15 a.m. to 12:15 p.m., only SAMPLE RESPONSE SET Table of Contents Practice Papers Question 29.......................

### Ch 5 Practice Exam. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Name: Class: Date: Ch 5 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of x. The diagram is not to scale. a. 32 b. 50 c.

### 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

### 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

Common Core Edition Table of Contents ALGEBRA 1 Chapter 1 Foundations for Algebra 1-1 Variables and Expressions 1-2 Order of Operations and Evaluating Expressions 1-3 Real Numbers and the Number Line 1-4

### Correlation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1

Correlation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1 ALGEBRA I A.1 Mathematical process standards. The student

### 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

### 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

### 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

### 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

### 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

### Answer Key. 9.1 Parts of Circles. Chapter 9 Circles. CK-12 Geometry Concepts 1. Answers. 1. diameter. 2. secant. 3. chord. 4.

9.1 Parts of Circles 1. diameter 2. secant 3. chord 4. point of tangency 5. common external tangent 6. common internal tangent 7. the center 8. radius 9. chord 10. The diameter is the longest chord in

### 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'

### Name: Period: Date: Given: is the bisector of Draw JD and DL such that it makes triangle DJL. Then answer the question. a. 17 b. 73 c. 118 d.

Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which statement is not necessarily true? Name: Given: is the bisector of Draw JD and DL such that it makes

### 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

### TENTH YEAR MATHEMATICS

---------- The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION TENTH YEAR MATHEMATICS Monday, June 17, 1985 1:15 to 4:15 p.m., only The last page of the booklet is the answer sheet.

### 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

### 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. 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

### Geometry Final Exam 2014 Study Guide. Name Date Block

Geometry Final Exam 014 Study Guide Name Date Block The final exam for Geometry will take place on June 5. The following study guide will help you prepare for the exam. Everything we have covered is fair

### 0615geo. Geometry CCSS Regents Exam In the diagram below, congruent figures 1, 2, and 3 are drawn.

0615geo 1 Which object is formed when right triangle RST shown below is rotated around leg RS? 4 In the diagram below, congruent figures 1, 2, and 3 are drawn. 1) a pyramid with a square base 2) an isosceles

### 2. If two isosceles triangles have congruent vertex angles, then the triangles must be A. congruent B. right C. equilateral D.

1. If two angles of a triangle measure 56 and 68, the triangle is A. scalene B. isosceles C. obtuse D. right 2. If two isosceles triangles have congruent vertex angles, then the triangles must be A. congruent

### 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

### 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

### 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

### STAAR STANDARDS ALGEBRA I ALGEBRA II GEOMETRY

STANDARDS ALGEBRA I ALGEBRA II GEOMETRY STANDARDS ALGEBRA I TEKS Snapshot Algebra I (New TEKS 2015-16) Mathematical Process Standards A.1 Mathematical process standards. The student uses mathematical processes

### Chapter (Circle) * Circle - circle is locus of such points which are at equidistant from a fixed point in

Chapter - 10 (Circle) Key Concept * Circle - circle is locus of such points which are at equidistant from a fixed point in a plane. * Concentric circle - Circle having same centre called concentric circle.

### Integrated Mathematics II

Integrated Mathematics II This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

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

### 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

### 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

### 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

### 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

### QUESTION BANK ON STRAIGHT LINE AND CIRCLE

QUESTION BANK ON STRAIGHT LINE AND CIRCLE Select the correct alternative : (Only one is correct) Q. If the lines x + y + = 0 ; 4x + y + 4 = 0 and x + αy + β = 0, where α + β =, are concurrent then α =,

### 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.

### 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.

### 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

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

### 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.

### C=2πr C=πd. Chapter 10 Circles Circles and Circumference. Circumference: the distance around the circle

10.1 Circles and Circumference Chapter 10 Circles Circle the locus or set of all points in a plane that are A equidistant from a given point, called the center When naming a circle you always name it by

### 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

### 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

### TENTH YEAR MATHEMATICS

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION TENTH YEAR MATHEMATICS Tuesday, June 16,1987-1:15 to 4:15 p.m., only The last page of the booklet is the answer sheet. Fold the last

### 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

### 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 =

### 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

### 2016 State Mathematics Contest Geometry Test

2016 State Mathematics Contest Geometry Test In each of the following, choose the BEST answer and record your choice on the answer sheet provided. To ensure correct scoring, be sure to make all erasures

### (D) (A) Q.3 To which of the following circles, the line y x + 3 = 0 is normal at the point ? 2 (A) 2

CIRCLE [STRAIGHT OBJECTIVE TYPE] Q. The line x y + = 0 is tangent to the circle at the point (, 5) and the centre of the circles lies on x y = 4. The radius of the circle is (A) 3 5 (B) 5 3 (C) 5 (D) 5

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE II

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE II Tuesday, August 13, 2002 8:30 to 11:30 a.m., only Notice... Scientific

### 10. Show that the conclusion of the. 11. Prove the above Theorem. [Th 6.4.7, p 148] 4. Prove the above Theorem. [Th 6.5.3, p152]

foot of the altitude of ABM from M and let A M 1 B. Prove that then MA > MB if and only if M 1 A > M 1 B. 8. If M is the midpoint of BC then AM is called a median of ABC. Consider ABC such that AB < AC.

### 1. LINE SEGMENTS. a and. Theorem 1: If ABC A 1 B 1 C 1, then. the ratio of the areas is as follows: Theorem 2: If DE//BC, then ABC ADE and 2 AD BD

Chapter. Geometry Problems. LINE SEGMENTS Theorem : If ABC A B C, then the ratio of the areas is as follows: S ABC a b c ( ) ( ) ( ) S a b A BC c a a b c and b c Theorem : If DE//BC, then ABC ADE and AD

### 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)

### 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)

### 9-12 Mathematics Vertical Alignment ( )

Algebra I Algebra II Geometry Pre- Calculus U1: translate between words and algebra -add and subtract real numbers -multiply and divide real numbers -evaluate containing exponents -evaluate containing