# Practice Test Student Answer Document

Size: px
Start display at page:

Transcription

1 Practice Test Student Answer Document Record your answers by coloring in the appropriate bubble for the best answer to each question Mastering the EOI, Geometry 37

2

3 Practice Test 1 Which of the following can serve as a counterexample to the assertion that two lines that are not parallel always intersect? A intersecting lines B parallel lines C perpendicular lines D skew lines 3 If a and b are both negative numbers, which of the following expressions must also be negative? A a _ b B a + b C a - b D 3ab 2 The net of a cylinder is shown below as two congruent circles and a square. 4 Transversal t cuts parallel lines a and b. a b t If the radius of the circles is 1 cm, then what is the surface area to the nearest tenth of a square centimeter? (Use π 3.14.) F 16.2 cm 2 G 18.8 cm 2 H 45.8 cm 2 J 59.2 cm 2 SA = 2π r 2 + 2πrh What is m 4 if m 1 = 80? F 10 G 80 H 90 J Which of the following is another name for a regular triangle? A an obtuse triangle B a right triangle C an equilateral triangle D a scalene triangle Mastering the EOI, Geometry 39

4 6 A pentagonal prism has how many faces? F 5 G 7 H 10 J Trey placed a rectangular box in an empty cylindrical can. 30 in. 6 in. 24 in. 10 in. 7 A triangle has a base 12 inches long and an area of 36 square inches. What is the length of the altitude to the base side? A 3 in. B 4 in. C 5 in. D 6 in. 8 The diagonals of a rhombus are perpendicular. If the slope of one diagonal is -_ 3, what is the slope of 2 the other diagonal? F -1 H _ 2 3 G -_ 3 J _ The hypotenuse of a right triangle measures 30 inches. What is the length of the side opposite the 60 angle? A 10 3 in. B 15 in. C 15 2 in. D 15 3 in. 8 in. What is the volume of the empty space in the can to the nearest cubic inch? (Use 3.14 for π.) V (cylinder) = π r 2 h V (rectangular prism) = lwh F 3,840 in 3 G 13,085 in 3 H 16,800 in 3 J 53,779 in 3 11 What is the measure of each exterior angle of a regular octagon? A 8 B 45 C 135 D Mastering the EOI, Geometry

5 12 Triangles ABC and DEC are similar with AD = 6, DC = 12, AB = 6, and BE = A truck tire has a diameter of 3 feet. How far will the truck travel with 20 rotations of the tire? What is the perimeter of DCE? F 24 G 28 H 32 J F 30π ft G 60π ft H 120π ft J 180π ft C = 2πr 13 All rectangles are parallelograms. Which of the following is the conditional form of the above statement? A If a figure is a parallelogram, then it is a rectangle. B If a figure is a rectangle, then it is a parallelogram. C A figure is a parallelogram if and only if it is a rectangle. D If a figure has 4 sides, then it is both a rectangle and a parallelogram. 24 ft What is the height of the flagpole shown above to the nearest tenth of a foot? A 16.0 ft B 19.9 ft C 29.7 ft D 36.0 ft cos x 0.55 sin x 0.83 tan x 1.50 Mastering the EOI, Geometry 41

6 16 18 A conical pile of sand has a height of 5 meters and a diameter of 12 meters. How many cubic meters of sand are in the pile? V = 1 _ 3 π r 2 h If triangle EFG is rotated 270 clockwise about the origin, what are the coordinates of G? F (-2, 4) G (-2, -4) H (-4, 2) J (2, -4) F 20π cubic meters G 50π cubic meters H 60π cubic meters J 240π cubic meters 19 A rectangular prism has 12 edges. What is the maximum number of edges parallel to each other? 17 Point G is the midpoint of FH. Given F (-2, 3) and G(1, 4), what are the coordinates of point H? Midpoint between 2 points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ): (_ x 1 + x 2,_ y 1 + y ) A (-0.5, 3.5) B (3.5, -0.5) C (4, 5) D (5, 4) 20 A 12 edges B 8 edges C 4 edges D 2 edges Which ratio represents cos P? F _ 12 H _ G _ 12 J _ Mastering the EOI, Geometry

7 21 Which of the following could be the lengths of the three sides of a right triangle? A 11, 11, and 22 B 3, 5, and 8 C 2, 4, and 10 D 3, 5, and 8 23 A triangle cannot have an obtuse angle. Which of the following could provide a counterexample to the above statement? A scalene triangle B right triangle C equilateral triangle D acute triangle 22 In the circle, m BD = 24, m BAD = 32, secants BC and DE intersect at point A. 24 Quadrilateral LMNP is a parallelogram. What is m CE? m QPS = 1 _ 2 ( m RT - m QS ) F 4 G 40 H 68 J 88 What are the coordinates for the midpoint of either diagonal? Midpoint between two points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ): (_ x 1 + x 2,_ y 1 + y ) F (6, 4) G (3, 2) H (2.5, 2) J (2.5, 0) Mastering the EOI, Geometry 43

8 25 In the figure, AE bisects BD Which of the following is not sufficient to prove that ABC and EDC are congruent? A AC CE B 2 5 C AB DE D If the sum of the measures of two angles equals 90, then the two angles are complementary. If m A = 20 and m B = 70, which of the following is a logical conclusion? A m A + m B = m C B A and B are interior angles of a triangle. C A and B are vertical angles. D A and B are complementary. 28 Line a cuts across lines b and c. b c 26 The hypotenuse of a right triangle has a length of 8 and one leg has a length of 5. What is the exact length of the other leg? F 3 G 13 H 39 J 89 (3) (2 17) For what value of x will lines b and c be parallel? F 3.4 G 17 H 32.6 J 51 a 44 Mastering the EOI, Geometry

9 29 Triangle ABC is a right triangle and AC = Point C is the center of the circle, and m CAB = 25. What is the exact value of x? A 2 B 4 2 C 16 2 D 8 What is m ADB? A 25 B 100 C 130 D Triangle ABC is to be translated to A B C by using the following rule. (x, y) (x - 2, y + 3) What will be the coordinates of point B? F (-3, 5) G (2, 0) H (1, 5) J (2, 0) 32 In right triangle DEF, e = 4 3 and m D = What is the value of f? F 8 G 12 H 8 3 J 16 Mastering the EOI, Geometry 45

10 33 Quadrilateral WXYZ is a kite. 35 In the figure, DE AC What is the length of ZY? A 14 in. B 16 in. C 26 in. D 29.5 in. Which could be used to prove that ABC is similar to DBE? A ASA B SSA C AA D SSS 34 A kite is flying so that the string makes a 55 angle with the ground. 400 ft 55 How high above the ground, to the nearest foot, is the kite if 400 feet of string has been released? F 228 ft G 328 ft h sin cos tan H 488 ft J 572 ft 36 Each face on a cubical block of ice has an area of 81 square inches. A salt block is in the shape of a cube congruent to the block of ice. What is the volume of the salt block? F 9 in 3 G 27 in 3 H 81 in 3 J 729 in 3 V = s 3 46 Mastering the EOI, Geometry

11 37 The base of a pyramid is a square. 5 cm 6 cm What is the volume of the pyramid? V = 1 _ 3 Bh 39 In a model of the solar system, Earth has a diameter of 15 inches and Mars has a diameter of 9 inches. What is the ratio of their surface areas? A 5 to 3 B 25 to 9 C 125 to 27 D 8 to 1 A 10 cm 3 B 30 cm 3 C 50 cm 3 D 150 cm 3 40 Chords EF and GH intersect at K, EK = 3, FK = 10, and HK = What is the degree measure of 2 if m 1 = (3x + 9) and m 2 = (5x + 3)? F 18 G 21 H 72 J What is the value of GK? F 1 G 2.5 H 4.5 J 6 Mastering the EOI, Geometry 47

12 41 43 Transversal p cuts parallel lines m and n n What type of polyhedron is shown above? A pentagonal pyramid B pentagonal prism C hexagonal prism D octagonal pyramid 42 What is the distance between point H and point J? Distance between two points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ): F 50 G 34 H 32 J 10 ( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2 p Which of the following names all the angles that must be congruent to 7? A 6, 4, 2 B 8, 4 C 5, 3, 1 D 6, 3, 2 44 The net of a triangular prism is composed of which shapes? m F 3 rectangles and 2 triangles G 2 rectangles and 3 triangles H 4 rectangles and 2 triangles J 3 rectangles and 1 triangle 45 What type of triangle is formed by the points P(3, 4), Q(2, 1), and R(4, 1)? A isosceles B right C scalene D equilateral 48 Mastering the EOI, Geometry

13 46 Triangle ABC is similar to XYZ What is the length of XY? F 8 G 10 H 12.8 J In the right triangle, m Q = 17 and NP = Which equation could be used to find the value of x? 23 A x = _ sin B x = _ cos 17 tan 17 C x = _ 23 D x = 23 tan The measure of two complementary angles are given by (2x - 7) and (5x - 1). What is the measure of the larger angle? F 14 G 21 H 69 J If B is between A and C, then AB + BC = AC. Which of the following is the inverse of this statement? A If B is not between A and C, then AB + BC AC. B If AB + BC = AC, then B is between A and C. C If AB + BC AC, then B is not between A and C. D If B is not between A and C, then AB BC. 50 Which could be the measurements for the three sides of an obtuse triangle? F 8 m, 12 m, 17 m G 21 cm, 28 cm, 35 cm H 7 ft, 8 ft, 71 ft J 20 in., 20 in., 26 in. Mastering the EOI, Geometry 49

14 51 In the figure below, BC DC and AC EC. 53 In circle O, AB is a diameter, CB is a chord, and m BC = 120. What theorem or postulate can be used to prove ABC EDC? A AAA B SSS C SAS D AAS 52 In the figure, line l is the perpendicular bisector of AB and AP BP. Suppose Q is another point on l. Which is a reasonable conjecture about this situation? F AQ AP G BQ BP H AQ BQ J APB AQB What is the measure of ABC? A 15 B 30 C 60 D In the figure, BD is perpendicular to AC What is the length of AC? F 9 G 25 H 42.5 J Mastering the EOI, Geometry

15 If a = 2 2, then what is the value of c? A 2 B 2 2 C 4 D 4 2 Which of the following would be sufficient to prove that ABC and DEF are similar? F AB DE G 1 6 H BC EF J The top of a swimming pool is congruent to the circle at midcourt of a basketball court. If the midcourt circle has a radius of 6 feet, what is the circumference of the top of the swimming pool to the nearest tenth of a foot? (Use 3.14 for π.) F 12.0 ft G 18.8 ft H 37.7 ft J ft 57 What is the slope of a line parallel to the line through (-4, -2) and (-1, 2)? A -_ 4 C _ B -_ 3 D _ cm 8 cm What is the surface area of this cylinder? A 96π cm 2 B 112π cm 2 C 160π cm 2 D 208π cm 2 SA = 2π r 2 + 2πrh Mastering the EOI, Geometry 51

16 60 In the figure, RS is a radius, ST is tangent to circle R at point S, and m RQS = 67. What is m QST? F 23 G 46 H 67 J What is the most specific name for the quadrilateral represented by the points A(-3, -2), B(-2, 2), C(2, 1), and D(1, -3)? A parallelogram B rectangle C rhombus D square 62 The lengths of two similar rectangles are in a ratio of 1:2. If the area of the smaller rectangle is 12 square centimeters, what is the area of the larger rectangle? 63 F 12 cm 2 G 24 cm 2 H 36 cm 2 J 48 cm 2 32 cm 16 cm 12 cm A larger rectangular prism with a height of 40 centimeters is similar to the one above. What is the volume of the larger prism? A 6,144 cm 3 B 15,360 cm 3 C 64,000 cm 3 D 96,000 cm 3 52 Mastering the EOI, Geometry

17 64 ACB is inscribed in circle P, m AC = 70, and m CB = 160. What is the measure of ACB? F 35 G 65 H 80 J The Ballerina is an 8 1 _ -foot tall statue 2 on display in the lobby of the Oklahoma City Civic Center. It honors Oklahoma s five American Indian ballerinas. If a spotlight is placed 4 feet perpendicular from its base, which ratio can be used to determine the angle of elevation, θ, to aim the light directly at the top of the statue? F sin θ = _ G cos θ = 4_ 8.5 H tan θ = _ J tan θ = _ Consider the following two statements. (1) If a set is finite, then any subset of the set is finite. (2) The set of integers between -100 and 100 is finite. Which statement below follows logically from statements (1) and (2)? A The set of integers is finite. B The set of integers between -100 and 100 is not a subset of an infinite set. C A subset of the set of integers between -100 and 100 is also finite. D A subset of the set of integers between -100 and 100 is infinite. 67 A cone with a radius of 3 units is similar to a cone with a radius of 6 units. How many times greater is the volume of the larger cone than the volume of the smaller cone? A 2 B 4 C 8 D 216 Mastering the EOI, Geometry 53

18 68 Quadrilateral WXYZ is a square and XZ = 14 centimeters. 70 What is the perimeter of WXYZ? F 28 2 cm G 28 cm H 7 2 cm J 7 cm 69 Right triangles MNP and QRS are congruent What is the area of QRS? A 30 square units B 42.5 square units C 60 square units D 102 square units This figure is a net of which solid? F triangular-based pyramid G triangular prism H cone J rectangular prism 71 A cable is attached to a young tree to keep it perpendicular to the ground. The cable is attached to the tree 15 feet above the ground and tied to a stake that is placed 8 feet from the base of the tree. If an extra 2 feet of cable is needed to fasten the cable to the tree and the stake, then what is the minimum length of cable that is needed? A 14.7 ft B 17 ft C 19 ft D 25 ft 54 Mastering the EOI, Geometry

19 72 In the figure, AB AC. 74 Triangle QRS is isosceles Which of the following could be used to prove that ABD and ACD are congruent? F D is the midpoint of BC. G ABC is isosceles. H 1 5 J m 3 + m 5 = What is the value of x? F 32 H 8 G 16 2 J A 20-foot water slide at a local water park makes a 32 angle with the ground. 73 Maria and Kelly have glasses that are congruent cylinders 10 centimeters in diameter. If the volume of Maria s glass is 375π cubic centimeters, what is the height of Kelly s glass? A 3.75 cm B 15 cm C 37.5 cm D 75 cm V = π r 2 h 20 ft 32 What is the length of the ladder to the nearest tenth of a foot? A 10.6 ft B 12.4 ft sin cos tan C 23.6 ft D 32.0 ft Mastering the EOI, Geometry 55

### 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

### 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

### 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

### 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

### 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

### 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

### Geometry Honors Final Exam Review June 2018

Geometry Honors Final Exam Review June 2018 1. Determine whether 128 feet, 136 feet, and 245 feet can be the lengths of the sides of a triangle. 2. Casey has a 13-inch television and a 52-inch television

### 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 Wednesday, August 17, 2011 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of

### 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

### 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

### 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

### 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

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

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

### Geometry 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

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

### 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?

### 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)

### 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

### 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

### 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

### 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

### 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

### 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. 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

### 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,

### 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

### 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?

### 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

### 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

### 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

### 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 (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

### 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

### Similarity of Triangle

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

### 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

### 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)

### 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

### 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

### 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

### 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

### Name Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement.

Chapter 6 Review Geometry Name Score Period Date Solve the proportion. 3 5 1. = m 1 3m 4 m = 2. 12 n = n 3 n = Find the geometric mean of the two numbers. Copy and complete the statement. 7 x 7? 3. 12

### 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

### 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

### 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

### 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

### 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

MCA/GRAD Formula Review Packet 1 2 3 4 5 6 The MCA-II / BHS 2 Math Plan GRAD Page 1 of 16 Portions Copyright 2005 by Claude Paradis 8 9 10 12 11 13 14 15 16 1 18 19 20 21 The MCA-II / BHS 2 Math Plan GRAD

### 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,

### 1. Use. What are the vertices of A.,, B.,, C.,, D.,,

1. Use. What are the vertices of A.,, B.,, C.,, D.,, 2. Given, how are the distances to the origin from each image point related to the distance to the origin from each corresponding preimage point? A.

### 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.

### 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

### 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

### 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 =

### 17. The length of a diagonal of a square is 16 inches. What is its perimeter? a. 8 2 in. b in. c in. d in. e in.

Geometry 2 nd Semester Final Review Name: 1. Pentagon FGHIJ pentagon. 2. Find the scale factor of FGHIJ to KLMNO. 3. Find x. 4. Find y. 5. Find z. 6. Find the scale factor of ABCD to EFGD. 7. Find the

### 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?

### + 10 then give the value

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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

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 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.

### 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?

### 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

### 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 =,

### 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

### 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 REVIEW

Name: Class: _ Date: _ Geometry Final Exam 09-10 - REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the perimeter and area of the parallelogram.

### Honors Geometry Midterm Questions

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

### 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

### 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

### 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

### 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

### 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

### 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 =

### 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

### College Prep Geometry MID-TERM STUDY GUIDE. Mrs. Miller. Name: Due: Thursday, January 9, 2014

College Prep Geometry MID-TERM STUDY GUIDE Mrs. Miller Name: Due: Thursday, January 9, 04 To receive full credit you must have Tried EVERY PROBLEM Work shown for EVERY PROBLEM All work done in this packet

### 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

### 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.

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Practice Test 1-0308- Chapter 8 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Tell whether the angle is acute, right, obtuse, or straight. 1) 1)

### b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals Converse d) Opposite sides Parallel and Congruent Theorem

Chapter 7 1. State which theorem you can use to show that the quadrilateral is a parallelogram. a) Parallelogram Opposite Angles Converse b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals

### GEOMETRY & MEASUREMENT

GEOMETRY & MESUREMENT 1 1. The measure for a stud for a wall must be 72. Which of the following studs is allowed? 4 a. 72.7 in b. 72.31 in c. 71.81 in d. 71.2 in 2. t a bolt manufacturing company, 6 bolts

### Section 5.1. Perimeter and Area

Section 5.1 Perimeter and Area Perimeter and Area The perimeter of a closed plane figure is the distance around the figure. The area of a closed plane figure is the number of non-overlapping squares of

### CP Geometry Final Exam Review Packet

CP Geometry Final Exam Review Packet 016-017 This packet reviews the basic concepts that you learned in each of the units taught this semester that will be assessed on the final exam. You should complete

### BOARD QUESTION PAPER : MARCH 2016 GEOMETRY

BOARD QUESTION PAPER : MARCH 016 GEOMETRY Time : Hours Total Marks : 40 Note: (i) Solve All questions. Draw diagram wherever necessary. (ii) Use of calculator is not allowed. (iii) Diagram is essential

### 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

### Geometry Semester 1 Mid Term Review

Geometry Semester 1 Mid Term Review Multiple Choice Identify the choice that best completes the statement or answers the question. Refer to Figure 1 #1-3. 1. What is another name for line n? A. line JB

### 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

### University of Houston High School Mathematics Contest Geometry Exam Spring 2015

University of Houston High School Mathematics Contest Geometry Exam Spring 2015 Note that diagrams may not be drawn to scale. 1. A pool has a 4 foot wide sidewalk around it. If the pool is 28 feet long

### Exercises for Unit I I I (Basic Euclidean concepts and theorems)

Exercises for Unit I I I (Basic Euclidean concepts and theorems) Default assumption: All points, etc. are assumed to lie in R 2 or R 3. I I I. : Perpendicular lines and planes Supplementary background

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

### College Prep Geometry MID-TERM STUDY GUIDE. Mrs. Miller. Name: Due: Thursday, January 9, 2014

College Prep Geometry MID-TERM STUDY GUIDE Mrs. Miller Name: Due: Thursday, January 9, 04 To receive full credit you must have Tried EVERY PROBLEM Work shown for EVERY PROBLEM All work done in this packet