Test Booklet. Subject: MA, Grade: HS ACE Geometry End-of-Instruction Student name:

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1 Test Booklet Subject: MA, Grade: HS Student name: Author: Oklahoma District: Oklahoma Released Tests Printed: Sunday September 02, 2012

2 1 Which sequence of statements is an example of deductive reasoning? A Birds have wings. A sparrow is a bird. Therefore, all sparrows have wings. B Bananas are yellow. A banana is a fruit. Therefore, all yellow fruits are bananas. C Trees have leaves. Trees are tall plants. Therefore, all tall plants have leaves. D Animals have four legs. An elephant is an animal. Therefore, all animals are elephants. 2 This Venn diagram shows the number of students who have completed homework for math, science, and English. 3 Which statement is the contrapositive of the above statement? If Sally goes to the store, she will buy apples. A If Sally buys apples, she did go to the store. B If Sally goes to the store, she will not buy apples. C If Sally does not buy apples, she did not go to the store. D If Sally does not go to the store, she will not buy apples. 4 Line m is parallel to line n. How many students have completed homework for math and science but not English? A 8 B 13 C 19 D 27 What is the value of x? A 18 B 25 C 29 D 31 Page 1

3 5 Which polygon appears to be regular? 7 What proves that RST and YXZ are similar? A B C D A RS ST B RS ST = XY Y Z = Y Z XY C R = Y and T = Z D R = Y and S = Z 8 EFG and XYZ are similar. 6 Which statement must be true to prove that this rhombus is a square? The measure of F is 21 degrees. The measure of G is 67 degrees. What is the measure of X? A The diagonals are congruent. B The diagonals bisect each other. C The diagonals are perpendicular. D The diagonals form scalene triangles. A 21 B 67 C 88 D 92 Page 2

4 9 QRS and XYZ are congruent. What is the measure of Q? A 36 B 60 C 78 D In this figure, the circle is inscribed in the polygon. What is the perimeter of the polygon? 11 Sam uses square tiles that measure 12 inches on each side to cover his kitchen floor. He creates a design in the center of the floor with tiles cut in half diagonally. About how long is the diagonal of one tile? A 6 inches B 12 inches C 17 inches D 24 inches 12 Tammy goes from her house to a store by traveling 11 miles east on Hill Avenue and 15 miles south on Wood Drive. To go home from the store, Tammy uses Main Drive. A 8 cm B 16 cm C 32 cm D 96 cm Tammy s route back home is about how many miles less than her route to the store? A 7 miles B 10 miles C 16 miles D 19 miles Page 3

5 13 In this triangle, r = Which trigonometric function has a ratio of 8 15? What is the value of p? A 4 B 8 C 4 2 D In XYZ, what is the length in inches of XY? A cos Q B cos S C tan Q D tan S 16 A wire is attached to the top of a 45-foot telephone pole and anchored to the ground. The angle of elevation is 64 degrees. A 6 in. B 12 in. C 4 3 in. D 12 3 in. How long is the wire to the nearest foot? A 50 ft B 64 ft C 78 ft D 106 ft Page 4

6 20 Which is a net of this rectangular prism? 17 A cylindrical ice cream container has a volume of cubic inches. The diameter of the container is 5 inches. What is the height of the container? (Use 3.14 for π.) A 1.5 inches B 6.0 inches C 7.5 inches D 15.0 inches V = πr 2 h 18 The square base of a pyramid has a length of 10 centimeters. The slant height of the pyramid is 13 centimeters. The height of the pyramid is 12 centimeters. What is the volume of the pyramid? A 100 cm 3 B 260 cm 3 C 360 cm 3 D 400 cm 3 V = 1 3 Bh 19 Two similar prisms have heights 6 centimeters and 10 centimeters. What is the ratio of their volumes? A 3:5 B 9:15 C 9:25 D 27:125 A B C D 21 Line n has a slope of 1 3. Line m is parallel to line n. What is the slope of line m? A -3 B 1 3 C 1 3 D 3 Page 5

7 22 What are the coordinates of X after rectangle WXYZ is reflected across the x -axis? A (-4, 1) B (1, -4) C (4, -1) D (-1, 4) Page 6

8 A television camera crew set up lights located at points B, K, and F, as shown. The camera is located at point C, and a chair is located at point S. 23 What is the distance from the light located at point F to the light located at point B? 24 The lights, camera, and chair are situated so that quadrilateral FSKC is a rhombus. Which statement must also be true? A KF = SC B m SF C = 90 C SF C = SKC D 2( m KCS ) = 90 A 8 B 34 C 37 D F C is parallel to SK, and F S is parallel to KC. If the measure of KCS is about 56, what is the approximate measure of the complement of F SC? A 34 B 45 C 56 D 124 Page 7 STOP