Practice Test Student Answer Document


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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
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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 triangularbased 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 20foot 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
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