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2008_Geometry

1. Line l and m are cut by transversal n. Which statement would prove l װ m? 1. 2. 3. 4. A B C D 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

2. Which point is on the line to l and passing through Z? 1. 2. 3. 4. U V W X 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

3. In this figure, two lines are cut by a transversal. Which type of angles are 1 and 2? 1. 2. Vertical angles Corresponding angles Alternate interior angles Same-side interior angles 3. 4. 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

4. Sally is using strings to mark parallel rows for a vegetable garden behind her house. If the measure of is 115°, what should be the measure of 2? 1. 2. 3. 4. 1 25° 65° 75° 115° 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

5. Line p is a transversal. For lines q, r, s, and t, which is not parallel to the other three? 1. 2. 3. 4. Q R S T 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

6. Lines l, m, and n are intersected by transversal t. The measures of some of the angles that are formed are shown. Which of the following statements about lines l, m, and n must be true? 1. 2. 3. 4. F G H J 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

7. Transversal t intersects lines k and j as shown. Which of the following relationships makes j k? 1. 2. 3. 4. A B C D 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

8. Which of the following constructions is illustrated? 1. An angle congruent to a given angle. The bisector of a given segment. The perpendicular bisector of a given segment. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

9. This is a regular polygon. What are the values of x and y? 1. 2. 3. 4. 78°, 102° 72°, 108° 60°, 120° 45°, 135° 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

10. Which line segment is apparently congruent to AB? 1. 2. 3. 4. AD AC AE AF 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

11. Which statement would not prove line m parallel to line n? 1. 2. 3. 4. A B C D 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

12. What is the converse of the following statement? If Joe goes fishing, then he needs bait. 1. If he needs bait, then Joe goes fishing. If Joe does not go fishing, then he does not need bait. If he does not need bait, then Joe does not go fishing. If Joe does fishing, then he does not need bait. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

13. In which group of statements is the conclusion not justified by the previous pair of statements? 1. All cooks work in the kitchen. Mary is a cook. Mary works in the kitchen. All dinosaurs are extinct. A triceratops is a dinosaur. All triceratops are extinct. All squares are rectangles. All rectangles are parallelograms. All squares are parallelograms. All fish live in the water. Some snakes are fish. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

14. Let p represent x 2 =21, and let q represent x is not a whole number. Which is a representation of the statement below? If x is a whole number, then x 2 ≠ 21. 1. 2. 3. 4. F G H J 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

15. Which pipe lengths could be joined to form a triangle? 1. 2. 3. 4. 15 ft, 6 ft, 5 ft 13 ft, 12 ft, 5 ft 40 ft, 20 ft, 10 ft 19 ft, 16 ft, 2 ft 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

16. Joseph is standing 12 feet from a mirror lying on the ground, and his eyes are 5 feet above the ground. The line-of-sight refection on the mirror makes 1 congruent to 2. if the building is 264 feet from the mirror, which is closest to the height of the building? 1. 2. 3. 4. 100 ft 110 ft 130 ft 145 ft 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

17. In addition to the information given in the drawing, which statement would be sufficient to prove that ABC DEF? 1. 2. 3. 4. A B C D 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

18. Which lists the angles of the triangle in order from least to greatest? 1. 2. 3. 4. F G H J 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

19. Jennifer made these measurements on ABC. BC must be-1. Less than 10 inches Between 10 and 12 inches Between 12 and 22 inches Greater than 22 inches 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

20. According to the diagram, which is true? 1. No bushes are flowering plants. No roses are bushes. Some roses are not flowering plants Some flowering plants are bushes. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

21. What is the length of SU? 1. 2. 3. 4. A B C D 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

22. What is the value of z? 1. 2. 3. 4. F G H J 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

23. From a point 12 feet from the base of a building, the angle of elevation from the ground to the top of the building is 70°. Which is closest to the height of the building? 1. 2. 3. 4. 24 ft 33 ft 35 ft 41 ft 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

24. ABCD and DECF are both squares. If AC = 28 millimeters, what is the perimeter of DECF? 1. 2. 3. 4. 14 mm 28 mm 42 mm 56 mm 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

25. The opposite sides of a window frame are congruent. Which additional piece of information would verify that the frame is a rectangle? 1. 2. 3. 4. A B C D 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

26. In parallelogram WXYZ, what are the coordinates of the point of intersection of WY and ZX? 1. 2. 3. 4. (2. 5, 2. 5) (7. 5, 3. 5) (5. 5, 3. 5) (3. 5, 3. 5) 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

27. The pentagon has the angle measures shown. What is m X? 1. 2. 3. 4. 82° 92° 108° 112° 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

28. For a regular polygon with three sides, each interior angle has a measure of-- 1. 2. 3. 4. 180° 60° 45° 30° 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

29. Each interior angle of a regular polygon measure 156°. How many sides does the polygon have? 1. 2. 3. 4. 13 14 15 16 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

30. The area of the shaded sector of circle O is--- 1. 2. 3. 4. 5π 20π 25π 50π 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

31. If ABCD is a parallelogram and x = 5, what is m D? 1. 2. 3. 4. 100° 120° 140° 160° 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

32. Given: 1. 2. 3. 4. 23° 46° 77° 80° 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

33. The following drawing represents tetrahedron. Which of the following nets could be folded on the dashed lines to form a tetrahedron? 1. 2. 3. 4. A B C D 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

34. When folded on the dotted lines, which net will not form a rectangular prism? 1. 2. 3. 4. F G H J 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

35. A concrete pillar shaped as a rectangular prism is designed as follows. Which is closest to the volume of concrete needed to fill the pillar? 1. 2. 3. 4. 12. 5 m 3 14. 3 m 3 21. 4 m 3 28. 5 m 3 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

36. A right triangular pyramid has a height of 10 inches and a base area of 41. 57 square inches. What is the volume, in cubic inches, of the pyramid? 1. 2. 3. 4. 138. 56 207. 85 277. 13 415. 69 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

37. The surface area of a plastic ball is 196π. A sponge ball has a radius twice that of the plastic ball. What is the surface area of the sponge ball? 1. 2. 3. 4. 9, 604π 993π 784π 546π 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

38. A rectangular place mat is similar to the table upon which it is placed. According to the diagram, which proportion can be used to determine the length of the table, l? 1. 2. 3. 4. F G H J 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

39. Which is most likely a line of symmetry for triangle KLM? 1. 2. 3. 4. Q R S T 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

40. The diameter of a circle has endpoints (-3, 2) and (3, -2). Which is closest to the length of the diameter of the circle? 1. 2. 3. 4. 1. 4 3. 2 7. 2 10. 0 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

41. Janelle is looking at plate designs. Which design has exactly 4 lines of symmetry? 1. 2. 3. 4. A B C D 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

42. In the design, a hexagon is inscribed in a circle. Which points shows the location of Point Q after a 240° clockwise rotation around the center? 1. 2. 3. 4. S T U V 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

43. What are the most likely coordinates of R’ if R’S’ is a reflection of RS across the y-axis? 1. 2. 3. 4. (4, 3) (-4, -3) (3, 4) 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20

44. A line segment has an endpoint at (3, 2). If the midpoint of the line segment is (6, -2), what are the coordinates of the point at the other end of the line segment? 1. 2. 3. 4. (4. 5, 0) (0, 6) (9, 4) (9, -6) 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20