End-of-Course Test. 245 Holt Geometry. Name Date Class

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1 Choose the best answer. 1. P is between J and K. The distance between J and P is 7 more than 3 times the distance between P and K. If JK 55, what is PK? A 12 C 2 B 16 D QX bisects PQR. What is the greatest possible whole-number measure of PQX? F 5 H 90 G 89 J The ratio of the measures of two supplementary angles is 8 :. What is the measure of the smaller angle? A 12 C 60 B 0 D 80. To the nearest tenth, what is the distance between the points (10, 11) and (1, 5)? F 2.6 H 12.5 G.1 J Which is next in the sequence? 1, 2, 7, 1, 23,... A 2 C 32 B 25 D 3 6. Which is the contrapositive of the statement? If 6 3x 7, then 3x 1. F If 6 3x 7, then 3x 1. G If 3x 1, then 6 3x 7. H If 6 3x 7, then 3x 1. J If 3x 1, then 6 3x Which conjecture is valid by the Law of Syllogism? Given: If it is June 12, then the local orchestra will play a concert. If the local orchestra is playing a concert in June, then the day must be Tuesday. A If it is June 12, then the day must be Tuesday. B If the local orchestra is playing a concert, then it must be June 12. C If the local orchestra is playing a concert, then it must be a Tuesday in June. D If it is a Tuesday in June, then the local orchestra is playing a concert. 8. In the figure, why is _ QS _ QS? F All altitudes are congruent. G Symmetric Property of Congruence H Reflexive Property of Congruence J Transitive Property of Congruence 9. Which names a pair of corresponding angles? A 1 and 6 B 3 and C 2 and 7 D 3 and What is the value of 12x 20? F 3 H 90 G 88 J Holt Geometry

2 11. What is the slope of the line that passes through the points (1, 9) and (, 6)? A 5 3 B Which is the equation of the line in the graph? F y 2x 3 G y 3 2 x 3 H y 3x 1 C 1 5 D 5 J y 2 3 x Two of the three angle measures in a triangle are given. Which are angle measures of an acute triangle? A 11, 79 C 11, 89 B 11, 59 D 11, Which polygon has line symmetry but not rotational symmetry? F rectangle H rhombus G square J kite 15. Which are the lengths of the sides of an obtuse triangle? A 8, 11, 15 C 11, 11, 15 B 9, 12, 15 D 10, 12, To the nearest tenth, what is the altitude of an equilateral triangle whose sides measure 3 centimeters? F 21.5 cm H 37.2 cm G 2.8 cm J 7.5 cm 17. What is the measure of one exterior angle of a regular polygon having 0 sides? A.5 C 85.5 B 9 D The figure represents the wooden truss used to support the roof of a garage. Use the figure for Exercises 18 and ft 13 ft 5 ft 18. What postulate or theorem can be used to prove JKM LKM? F SSS H ASA G SAS J HL 19. Given that ML 12 feet, how wide is the garage? A 12 ft C 25 ft B 2 ft D 26 ft 20. What is MP? F 3 2 H 6 G 2 J What is the value of x?.5 cm.5 cm 72 6 cm 12 cm 3 3 A 25 C 65 B 29 D Which CANNOT be used to prove that a quadrilateral is a parallelogram? F One pair of opposite angles is congruent. G Both pairs of opposite sides are parallel. H Both pairs of opposite sides are congruent. J One pair of opposite sides is both parallel and congruent. 26 Holt Geometry

3 23. The figure represents a rectangular gate with diagonal braces. To the nearest tenth, what is the width, QT, of the gate? A 3.9 ft B.9 ft.2 ft 3.5 ft C 7.0 ft D 7.6 ft Refer to the figure for Exercises 2 and cm 20 cm 50 cm 20 cm 2. Kim is making a kite with a wooden frame. The measures of the frame are shown. She will use cloth binding to cover the outer edges of the kite. To the nearest tenth, how many centimeters of binding will she need? F 58.1 cm H cm G 82.1 cm J 16.3 cm 25. What is the area of the kite? A 200 cm 2 C 100 cm 2 B 00 cm 2 D 2800 cm To the nearest tenth, what is AP? F 1.0 m G 2.2 m 2.2 m 2.6 m 5.6 m H 2.5 m J.7 m 27. The ratio of the angle measures in a triangle is 2 : 5 : 11. What is the measure of the largest angle? A 10 C 18 B 11 D Starla is 5 feet 9 inches tall. To find the height of a tree, she measured her shadow and the tree s shadow. Her shadow was 8 feet long when the tree s shadow was 30 feet long. To the nearest foot, how tall is the tree? F 15 ft H 28 ft G 22 ft J 2 ft 29. _ MN with endpoints M(9, 3) and N(1, 5) is dilated by a scale factor of 2.5. To the nearest tenth, what is the length of MN _? A 16.1 C 25.5 B 17.9 D To the nearest thousandth, what is tan 77? F H 0.97 G J The legs of a right triangle measure 11. meters and 15.1 meters. To the nearest tenth, which could be the measure of the smallest angle? A 31.1 C 38.6 B 37.1 D When the angle of elevation to the sun is 26, a flagpole casts a shadow that is 82 feet long. What is the height of the flagpole to the nearest foot? F 36 ft H 7 ft G 0 ft J 166 ft 33. The sides of a triangle measure 18 inches, 25 inches, and 36 inches. To the nearest degree, what is the measure of the largest angle? A 113 C 157 B 17 D Holt Geometry

4 3. To the nearest tenth, what is the area of a regular octagon with a perimeter of 32 meters? F 77.3 m 2 H m 2 G 15.5 m 2 J 102 m The area of a trapezoid is 128 square feet. If the height of the trapezoid is increased by a factor of 5, what is the area of the new trapezoid? A 133 ft 2 C 60 ft 2 B 138 ft 2 D 3200 ft A rectangular scarf with the design shown is set out to dry. A fly lands on the scarf. What is the probability that it lands in the shaded region? 2 in. 2 in. 2 in. 2 in. F 0.25 H 0.75 G 0.50 J To the nearest tenth, what is the distance between the points (2, 1, 3) and (0, 2, 2)? A 2.0 C 3.2 B 2. D What is the surface area of a rectangular prism that is inches wide, 9 inches long, and 3 inches high? F 6 in 2 H 108 in 2 G 75 in 2 J 150 in To the nearest tenth, what is the volume of a cylinder with a diameter of 22 centimeters and a height of 13 centimeters? A 91.7 cm 3 C cm 3 B cm 3 D 19,766.9 cm 3 0. What is the volume of a square pyramid with base area of square meters and a height of 6 meters? F 6 m 3 H 12 m 3 G 8 m 3 J 2 m 3 1. To the nearest tenth, what is the area of a sector of a circle of radius of 9 meters if the central angle is 50? A 1.3 m 2 C 35.3 m 2 B 5.1 m 2 D 70.7 m 2 Refer to the figure for Exercises 2 and m PN 78, m QN 163.5, and m MQ 72. What is mprm? F 7 H 9 G 57 J PR 6, NR 15, and QR 1. To the nearest tenth, what is MR? A 5.6 C 6. B 6.0 D 7.0. The equation for a circle is (x ) 2 (y 3) Which pair of coordinates locates its center? F (, 3) H (16, 9) G (, 3) J (16, 9) 5. XYZ is reflected across the line y x. If vertex Z is at (15, 21), where is Z after the reflection? A (15, 21) C (21, 15) B (15, 21) D (21, 15) 6. _ MN with endpoints M(6, 10) and N(1, 0) is rotated 30 about the origin. What are the coordinates of N after the rotation? F 3 2, 1 2 H 1 2, 3 2 G 1, 3 3 J 3 3, 1 28 Holt Geometry

5 Answer Key continued Performance Assessment 1. a. (See answer for Exercise 2a.) 2. a. b. No; the orientation of the image and preimage must be the same, and they are not. c. Yes; it can be described as an odd number of reflections. b. Rotation only; ABC is rotated 90 about the origin. 3. a. ABC b. 6, 9 c. ABC d. Sample answer: Translate ABC along the vector 0, 9 and reflect it across the line x 3.. Yes; the sum of the angles of the triangle is 180, and 360 is a multiple of 180. Cumulative Test 1. D 16. J 31. B 2. H 3. B. H 5. D 6. H 7. B 8. H 9. B 10. J 11. A 12. G 13. A 1. J 15. C 17. B 18. J 19. D 20. F 21. D 22. F 23. B 2. J 25. B 26. H 27. B 28. H 29. B 30. G 32. H 33. B 3. J 35. D 36. F 37. A 38. J 39. D 0. G 1. B 2. J 3. D. J END-OF-COURSE TEST 1. A 17. B 32. G 2. H 18. J 33. A 3. C 19. B 3. F. H 20. H 35. C 5. D 21. C 36. G 6. G 22. F 37. B 7. A 23. D 38. J 8. H 2. J 39. A 9. D 25. C 0. G 10. G 26. H 1. C 11. B 27. D 2. J 12. J 28. G 3. A 13. C 29. C. F 1. J 30. J 5. C 15. A 31. B 6. F 16. H 278 Holt Geometry