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

Size: px
Start display at page:

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

Transcription

2 Part I Answer all 28 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write on the separate answer sheet the numeral preceding the word or expression that best completes the statement or answers the question. [56] 1 The statement x is a multiple of 3, and x is an even integer is true when x is equal to (1) 9 (3) 3 (2) 8 (4) 6 Use this space for computations. 2 In the diagram below, ABC XYZ. C Y Z X A B Which statement must be true? (1) C Y (3) AC _ YZ _ (2) A X (4) CB _ XZ _ Geometry August 11 [2]

3 3 In the diagram below of ABC, _ TV _ BC, AT = 5, TB = 7, and AV = 10. Use this space for computations. A T V B C What is the length of _ VC? (1) (2) (3) 14 (4) 24 4 Pentagon PQRST has PQ _ parallel to TS _. After _ a translation of T 2, 5, which line segment is parallel to P Q? (1) R Q _ (3) T S _ (2) R S (4) T P Geometry August 11 [3] [OVER]

4 _ 5 In the diagram below of PAO, AP is tangent to circle O at point A, OB = 7, and BP = 18. Use this space for computations. O 7 B 18 P A What is the length of _ AP? (1) 10 (3) 17 (2) 12 (4) 24 6 A straightedge and compass were used to create the construction below. Arc EF was drawn from point B, and arcs with equal radii were drawn from E and F. A D E C B F Which statement is false? (1) m ABD = m DBC (2) 1 (m ABC) = m ABD 2 (3) 2(m DBC) = m ABC (4) 2(m ABC) = m CBD Geometry August 11 [4]

5 7 What is the length of the line segment whose endpoints are (1, 4) and (9,2)? (1) 5 (3) 10 (2) 2 17 (4) 2 26 Use this space for computations. 8 What is the image of the point (2, 3) after the transformation r y-axis? (1) (2,3) (3) ( 2,3) (2) ( 2, 3) (4) ( 3,2) Geometry August 11 [5] [OVER]

6 9 In the diagram below, lines n and m are cut by transversals p and q. Use this space for computations x n m p q Which value of x would make lines n and m parallel? (1) 110 (3) 70 (2) 80 (4) What is an equation of the circle with a radius of 5 and center at (1, 4)? (1) (x + 1) 2 + (y 4) 2 = 5 (2) (x 1) 2 + (y + 4) 2 = 5 (3) (x + 1) 2 + (y 4) 2 = 25 (4) (x 1) 2 + (y + 4) 2 = 25 Geometry August 11 [6]

7 11 In the diagram below of BCD, side _ DB is extended to point A. Use this space for computations. C A B D Which statement must be true? (1) m C > m D (3) m ABC > m C (2) m ABC < m D (4) m ABC > m C + m D 12 Which equation represents the line parallel to the line whose equation is 4 x + 2y = 14 and passing through the point (2,2)? (1) y = 2 x (3) y = 1 2 x (2) y = 2 x + 6 (4) y = 1 2 x The coordinates of point A are ( 3a,4b). If point A is the image of point A reflected over the line y = x, the coordinates of A are (1) (4 b, 3a) (3) ( 3a, 4 b) (2) (3a,4 b) (4) ( 4 b, 3a) Geometry August 11 [7] [OVER]

8 14 As shown in the diagram below, _ AC bisects BAD and B D. Use this space for computations. B D C A Which method could be used to prove ABC ADC? (1) SSS (3) SAS (2) AAA (4) AAS 15 Segment AB is the diameter of circle M. The coordinates of A are ( 4,3). The coordinates of M are (1,5). What are the coordinates of B? (1) (6,7) (3) ( 3,8) (2) (5,8) (4) ( 5,2) Geometry August 11 [8]

9 16 In the diagram below, _ AB is perpendicular to plane AEFG. Use this space for computations. G F A E H D B C Which plane must be perpendicular to plane AEFG? (1) ABCE (3) CDFE (2) BCDH (4) HDFG 17 How many points are both 4 units from the origin and also 2 units from the line y = 4? (1) 1 (3) 3 (2) 2 (4) 4 Geometry August 11 [9] [OVER]

10 18 When solved graphically, what is the solution to the following system of equations? y = x 2 4x+ 6 y = x + 2 Use this space for computations. (1) (1,4) (3) (1,3) and (4,6) (2) (4,6) (4) (3,1) and (6,4) 19 Triangle PQR has angles in the ratio of 2:3:5. Which type of triangle is PQR? (1) acute (3) obtuse (2) isosceles (4) right Geometry August 11 [10]

11 20 Plane A is parallel to plane B. Plane C intersects plane A in line m and intersects plane B in line n. Lines m and n are (1) intersecting (3) perpendicular (2) parallel (4) skew Use this space for computations. 21 The diagonals of a quadrilateral are congruent but do not bisect each other. This quadrilateral is (1) an isosceles trapezoid (3) a rectangle (2) a parallelogram (4) a rhombus 22 What is the slope of a line perpendicular to the line represented by the equation x + 2y = 3? (1) 2 (3) 1 2 (2) 2 (4) 1 2 Geometry August 11 [11] [OVER]

12 23 A packing carton in the shape of a triangular prism is shown in the diagram below. Use this space for computations. What is the volume, in cubic inches, of this carton? (1) 20 (3) 120 (2) 60 (4) In the diagram below of circle O, diameter _ AOB is perpendicular to chord _ CD at point E, OA = 6, and OE = 2. C A O E B D What is the length of CE _? (1) 4 3 (3) 8 2 (2) 2 3 (4) 4 2 Geometry August 11 [12]

13 25 What is the measure of each interior angle of a regular hexagon? (1) 60 (3) 135 (2) 120 (4) 270 Use this space for computations. 26 Which equation represents the perpendicular bisector of _ AB whose endpoints are A(8,2) and B(0,6)? (1) y = 2x 4 (3) y = 1 2 x + 6 (2) y = 1 x + 2 (4) y = 2x As shown in the diagram below, a kite needs a vertical and a horizontal support bar attached at opposite corners. The upper edges of the kite are 7 inches, the side edges are x inches, and the vertical support bar is (x + 1) inches. 7 inches x inches (x + 1) inches What is the measure, in inches, of the vertical support bar? (1) 23 (3) 25 (2) 24 (4) 26 Geometry August 11 [13] [OVER]

14 28 Given three distinct quadrilaterals, a square, a rectangle, and a rhombus, which quadrilaterals must have perpendicular diagonals? (1) the rhombus, only (2) the rectangle and the square (3) the rhombus and the square (4) the rectangle, the rhombus, and the square Use this space for computations. Geometry August 11 [14]

15 Part II Answer all 6 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [12] 29 In the diagram below, trapezoid ABCD, with bases AB _ and DC _, is inscribed in circle O, with diameter DC _. If m AB = 80, find m BC. A 80 B D O C Geometry August 11 [15] [OVER]

16 30 On the diagram of ABC _ shown below, use a compass and straightedge to construct the perpendicular bisector of AC. [Leave all construction marks.] A B C Geometry August 11 [16]

17 31 A sphere has a diameter of 18 meters. Find the volume of the sphere, in cubic meters, in terms of π. Geometry August 11 [17] [OVER]

18 32 Write an equation of the circle graphed in the diagram below. y x Geometry August 11 [18]

19 33 The diagram below shows ABC, with ABC is similar to ADE. _ AEB, _ ADC, and ACB AED. Prove that A E D B C Geometry August 11 [19] [OVER]

20 34 Triangle ABC has vertices A(3,3), B(7,9), and C(11,3). Determine the point of intersection of the medians, and state its coordinates. [The use of the set of axes below is optional.] y x Geometry August 11 [20]

21 Part III Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [12] 35 In the diagram below of GJK, H is a point on _ GJ, _ HJ _ JK, m G = 28, and m GJK = 70. Determine whether GHK is an isosceles triangle and justify your answer. K G H J Geometry August 11 [21] [OVER]

22 36 As shown on the set of axes below, GHS has vertices G(3,1), H(5,3), and S(1,4). Graph and state the coordinates of G H S, the image of GHS after the transformation T 3,1 D 2. y S H G x Geometry August 11 [22]

23 37 In the diagram below, ABC _ DEF, DE = 4, AB = x, AC = x + 2, and DF = x + 6. Determine the length of AB. [Only an algebraic solution can receive full credit.] D A x + 2 x x C B E F Geometry August 11 [23] [OVER]

24 Part IV Answer the question in this part. A correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. The answer should be written in pen. [6] 38 Given: ABC with vertices A( 6, 2), B(2,8), and C(6, 2) _ AB has midpoint D, BC _ has midpoint E, and AC _ has midpoint F Prove: ADEF is a parallelogram ADEF is not a rhombus [The use of the grid below is optional.] Geometry August 11 [24]

25

26

27 Reference Sheet Tear Here Tear Here Cylinder V Bh where B is the area of the base Volume Pyramid Right Circular Cone V 1 Bh 3 where B is the area of the base V 1 Bh 3 where B is the area of the base Sphere V 4 r 3 3 Lateral Area (L) Right Circular Cylinder Right Circular Cone L 2 rh L rl where l is the slant height Surface Area Sphere SA 4 r 2 Geometry August 11

28 Tear Here Tear Here

29 Scrap Graph Paper This sheet will not be scored. Tear Here Tear Here

30 Scrap Graph Paper This sheet will not be scored. Tear Here Tear Here

32 GEOMETRY Rater s/scorer s Name (minimum of three) GEOMETRY Question Maximum Credit Part I Part II Part III Part IV 38 6 Maximum Total 86 Credits Earned Total Raw Score Rater s/scorer s Initials Checked by Scale Score (from conversion chart) Tear Here Tear Here Printed on Recycled Paper Geometry August 11 GEOMETRY

### 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

### 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

### 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

### 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

### 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 MATHEMATICS B. Tuesday, June 15, :15 a.m. to 12:15 p.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Tuesday, June 5, 00 9:5 a.m. to :5 p.m., only Print Your Name: Print Your School s Name: Print your name

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Thursday, June 23, :15 a.m. to 12:15 p.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Thursday, June 23, 2005 9:15 a.m. to 12:15 p.m., only Print Your Name: Print Your School s Name: Print

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

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, June 19, 2018 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any communications

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Tuesday, January 26, :15 a.m. to 12:15 p.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Tuesday, January 26, 2010 9:15 a.m. to 12:15 p.m., only Print Your Name: Print Your School s Name: Print

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Thursday, June 14, :15 to 4:15 p.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Thursday, June 14, 007 1:15 to 4:15 p.m., only Print Your Name: Print Your School s Name: Print your

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Friday, June 20, :15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Friday, June 0, 003 1:15 to 4:15 p.m., only Print Your Name: Print Your School s Name: Print your name and the name

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Tuesday, June 23, :15 to 4:15 p.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Tuesday, June 23, 2009 1:15 to 4:15 p.m., only Print Your Name: Print Your School s Name: Print your

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Tuesday, August 16, :30 to 11:30 a.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Tuesday, August 16, 2005 8:30 to 11:30 a.m., only Print Your Name: Print Your School s Name: Print your

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Friday, January 28, :15 a.m. to 12:15 p.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Friday, January 28, 2005 9:15 a.m. to 12:15 p.m., only Print Your Name: Print Your School s Name: Print

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA. Wednesday, January 26, :15 to 4:15 p.m.

INTEGRATED ALGEBRA The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Wednesday, January 26, 2011 1:15 to 4:15 p.m., only Student Name: School Name: Print your name

### 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

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

GEOMETRY The University of the State of New Yk 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

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Tuesday, January 27, :15 a.m. to 12:15 p.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Tuesday, January 7, 009 9:15 a.m. to 1:15 p.m., only Print Your Name: Print Your School s Name: Print

### 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

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

MATHEMATICS A The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS A Wednesday, August 6, 2006 8:30 to :30 a.m., only Print Your Name: Print Your School s Name: Print your

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Friday, January 27, :15 a.m. to 12:15 p.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Friday, January 7, 006 9:15 a.m. to 1:15 p.m., only Print Your Name: Print Your School s Name: Print

### GEOMETRY (Common Core)

GEOMETRY (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY (Common Core) Tuesday, June 2, 2015 1:15 to 4:15 p.m., only Student Name: School Name: The possession

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE II. Friday, January 26, :15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE II Friday, January 26, 2001 9:15 a.m. to 12:15 p.m., only Notice... Scientific

### 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?

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Wednesday, August 13, :30 to 11:30 a.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Wednesday, August 13, 2008 8:30 to 11:30 a.m., only Print Your Name: Print Your School s Name: Print

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE I. 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 I Wednesday, August 16, 2000 8:30 to 11:30 a.m., only Notice... Scientific

### 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)

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE II. Friday, January 26, :15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXMINTION THREE-YER SEQUENCE FOR HIGH SCHOOL MTHEMTICS COURSE II Friday, January 26, 2001 9:15 a.m. to 12:15 p.m., only Notice... Scientific

### 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

### 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,

### 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

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

INTEGRATED ALGEBRA The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Friday, June 19, 2009 1:15 to 4:15 p.m., only Student Name: School Name: Print your name and

### 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 Wednesday, June 19, 00 1:15 to 4:15 p.m., only Notice... Scientific calculators

### 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

### 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

### 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

### 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 SHOOL EXAMINATION THREE-YEAR SEQUENE FOR HIGH SHOOL MATHEMATIS OURSE II Tuesday, August 3, 2002 8:30 to :30 a.m., only Notice... Scientific calculators

### 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

### Wednesday, August 16, :30 to 11:30 a.m., only

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Wednesday, August 16, 2006 8:30 to 11:30 a.m., only Print Your Name: Print Your School's Name: Print

### 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

### 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

### 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.

### 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

### 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

### 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 COURSE I. Tuesday, June 20, :15 to 4:15 p.m., only

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE I Tuesday, June 0, 000 :5 to :5 p.m., only Notice... Scientific calculators

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Thursday, June 23, :15 a.m. to 12:15 p.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Thursday, June 23, 2005 9:15 a.m. to 12:15 p.m., only Print Your Name: Print Your School's Name: Print

### 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

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE I. Tuesday, June 19, :15 to 4:15 p.m., only

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE I Tuesday, June 1, 2001 1:15 to 4:15 p.m., only Notice... Scientific calculators

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE II. Wednesday, June 21, :15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SHOOL EXMINTION THREE-YER SEQUENE FOR HIGH SHOOL MTHEMTIS OURSE II Wednesday, June, 000 :5 to 4:5 p.m., only Notice... Scientific calculators must be

### ALGEBRA 2/TRIGONOMETRY

ALGEBRA 2/TRIGONOMETRY The Universit of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/TRIGONOMETRY Wednesda, August 18, 2010 8:30 to 11:30 a.m., onl Student Name: School Name: Print our

### 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.......................

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE II. Tuesday, January 22, :15 to 4:15 p.m.

The Universit of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE II Tuesda, Januar, 00 1:15 to 4:15 p.m., onl Notice... Scientific calculators

### 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

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE I. Tuesday, June 19, :15 to 4:15 p.m., only

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE I Tuesday, June 19, 2001 1:15 to 4:15 p.m., only Notice... Scientific calculators

### , 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... I I GEOMETRY i i Tuesday, June 19, 2018-9:15 a.m. to 12:15 p.m., only The possession or :use of any communications device is

### 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

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

INTEGRATED ALGEBRA The Universit of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Wednesda, August 18, 2010 8:30 to 11:30 a.m., onl Student Name: School Name: Print our name

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

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III Friday, June 0, 00 1:15 to 4:15 p.m., only Notice... Scientific calculators

### 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

### ALGEBRA 2/TRIGONOMETRY

ALGEBRA 2/TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/TRIGONOMETRY Tuesday, June 15, 2010 9:15 a.m. to 12:15 p.m., only Student Name: School Name: Print

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE II. Wednesday, June 21, :15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SHOOL EXMINTION THREE-YER SEQUENE FOR HIGH SHOOL MTHEMTIS OURSE II Wednesday, June, 000 :5 to 4:5 p.m., only Notice... Scientific calculators must be

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

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III Thursday, June 20, 2002 :5 to 4:5 p.m., only Notice... Scientific calculators

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 16, :30 to 11:30 a.m.

GEOMETRY The University of the State of New Yk REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 16, 2012 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of your

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

GEOMETRY The University of the State of New Yk REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, June 19, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession use of any communications

### Triangles. 3.In the following fig. AB = AC and BD = DC, then ADC = (A) 60 (B) 120 (C) 90 (D) none 4.In the Fig. given below, find Z.

Triangles 1.Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third side? (A) 19 cm. (B) 17 cm. (C) 23 cm. of these. 2.Can 80, 75 and 20 form a triangle?

### 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE III. Wednesday, June 21, :15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III Wednesday, June, 000 :5 to 4:5 p.m., only Notice... Scientific calculators

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

Los Angeles Unified School District Periodic Assessments Assessment 2 2008 2009 Los Angeles Unified School District Periodic Assessments LA08_G_T2_TST_31241 ASSESSMENT ODE 1100209 The test items contained

### 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?

### 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'

### 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)

### Thursday, June 15, :15 to 4:15 p.m., only

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Thursday, June 15, 2006 1:15 to 4:15 p.m., only Print Your Name: Print Your School's Name: Print your

### 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

### 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?

### 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 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,

### 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, January 28, 1992-9:15 a.m. to 12:15 p.m., only Notice... If your

### 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 HGH SCHOOL EXAMNATON THREE-YEAR SEQUENCE FOR HGH SCHOOL MATHEMATCS COURSE Thursday, June 17, 1993-9:1.5 a.m. to 12:15 p.m., only Notice... Calculators must

### 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!!! " "

### 21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle.

21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle. 22. Prove that If two sides of a cyclic quadrilateral are parallel, then

### Thursday, August 13, :30 to 11:30 a.m., only. b t)

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Thursday, August 13, 2009 8:30 to 11:30 a.m., only Print Your Name: b t) Print Your School's Name: Print

### 4.! ABC ~ DEF,! AC = 6 ft, CB = 3 ft, AB = 7 ft, DF = 9 ft.! What is the measure of EF?

Name:!!!!!!!!!!!!! Geo(2) GEOMETRY (2) REVIEW FOR FINAL EXAM #2 1. If ABC is similar to ADE, then AB AD =? AE. Which replaces the? to make the statement true? A. AC!! B. AE!! C. DE!! D. BC 2. In ABC,

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

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III Thursday, June 20, 2002 :5 to 4:5 p.m., only Notice... Scientific calculators

### 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

### 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

### 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

### 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

### 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

### 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

### Higher Geometry Problems

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