1. If the sum of the measures of two angles is 90, then the angles are complementary. In triangle ABC, m A = 25, m B = 65, m C = 90.

Transcription

1 1. If the sum of the measures of two angles is 90, then the angles are complementary. In triangle ABC, m A = 25, m B = 65, m C = 90. Which valid conclusion follows directly from the previous statements? A. C is a complementary angle. B. B and C are complementary angles. C. A and C are complementary angles. D. A and B are complementary angles.

2 2. Which is a true statement about angles 1 and 2 shown below? A. 1 is complementary to 2. B. 1 is supplementary to 2. C. Both angles are obtuse. D. Both angles are acute.

3 3. Which of the following pairs of angles are complementary? A. 24 and 66 B. 56 and 124 C. 24 and 66 ; 34 and 56 D. 56 and 124 ; 66 and 114

4 4. Which two angle measurements (in degrees) are complementary? A. 33 and 47 B. 42 and 48 C. 51 and 69 D. 63 and 37

5 5. The diagram below shows angles formed by intersecting lines. Which answer reflects the relationship between 2 and 3? A. 2 and 3 are vertical angles. B. 2 and 3 are corresponding angles. C. 2 and 3 are alternate exterior angles. D. 2 and 3 are adjacent supplementary angles.

6 6. Which term describes 1 and 2? A. supplementary B. complementary C. vertical D. congruent

7 7. Which of the following is a pair of complementary angles? A. B. C. D.

8 8. Which of the following is a pair of supplementary angles? A. BOF and BOA B. COD and DOE C. COF and AOF D. DOE and DOB

9 9. In which figure is the measure of 1 not equal to 60? A. B. C. D.

10 10. Which angles are complementary? A. 2 and 3 B. 3 and 4 C. 4 and 5 D. 1 and 2

11 11. The figure below is a drawing of a circular window in a building. Circular Window How long is the radius in inches? A. 10 B. 20 C. 40 D. 80

12 12. The radius of a circular table is 13 inches. What is the diameter of the table? A. 6.5 inches B. 13 inches C. 15 inches D. 26 inches

13 13. A disk in the shape of a circle has a diameter of 64 millimeters. What is the radius of the disk? A. 8 millimeters B. 32 millimeters C. 64 millimeters D. 128 millimeters

14 14. David needs cake pans with a diameter of 30 centimeters. At the store, the pans are sold by radius size. Which should he buy? A. radius = 15 centimeters B. radius = 60 centimeters C. radius = 90 centimeters D. radius = 10 centimeters

15 15. Adam drew a line segment to represent the diameter of the circle below. The line segment goes through the center of the circle and touches both sides. If the radius of the circle is 7.5 units, what must be the length of the line segment Adam drew? A units B. 15 units C. 7.5 units D units

16 16. Point F is the center of the circle shown. What is the diameter of this circle? A. 10 feet B. 20 feet C. 30 feet D. 100 feet

17 17. The diameter of the circle shown below is 11.5 inches. What is the radius of the circle? A B C. 23 D. 34.5

18 18. Look at the right rectangular prism below. What is the surface area, in square inches, of the prism? A. 38 square inches B. 40 square inches C. 60 square inches D. 76 square inches

19 19. What is the surface area of the triangular prism represented below in square inches? A. 102 sq. in. B. 108 sq. in. C. 96 sq. in. D. 48 sq. in.

20 20. What is the total surface are of the triangular prism below? A. 48 m 2 B. 68 m 2 C. 108 m 2 D. 120 m 2

21 21. Matthew made a wooden cube that has an edge length of 9 inches, as shown below. He painted half the faces of the cube red and the remaining faces yellow. What is the surface area of the faces Matthew painted red? A. 162 square inches B. 243 square inches C. 365 square inches D. 486 square inches

22 22. A cap in the shape of a right circular cone is built on top of a chimney. A diagram representing the cap is shown below. Based on the dimensions in the diagram, which of the following is closest to the lateral surface area of the cap? A. 212 sq. in. B. 339 sq. in. C. 424 sq. in. D. 565 sq. in.

23 23. The diagram below shows a right circular cone and its dimensions. Which of the following is closest to the lateral surface area of the cone? A. 188 sq. in. B. 204 sq. in. C. 314 sq. in. D. 408 sq. in.

24 24. A classroom globe has a diameter of 18 inches. Which of the following is the approximate surface area, in square inches, of the globe? (Surface Area = 4πr 2 ) A B C D

25 25. The diameter of a sphere is 30 centimeters. Which of the following is closest to the surface area of the sphere? A. 377 square centimeters B. 2,827 square centimeters C. 11,310 square centimeters D. 45,239 square centimeters

26 26. The formula for finding the surface area of a sphere that has a radius r is shown in the box below. SA = 4πr 2 A baseball has a diameter of 7.4 centimeters. Which of the following is closest to the surface area of the baseball? (Use 3.14 for π) A. 93 square centimeters B. 172 square centimeters C. 186 square centimeters D. 688 square centimeters

27 27. The right circular cylinder represented below has a base radius of 3 centimeters and a height of 12 centimeters. What is the volume of the right circular cylinder in cubic centimeters? A. 36π cm 3 B. 72π cm 3 C. 108π cm 3 D. 432π cm 3

28 28. Use the picture below to answer the question that follows. Which is the volume of the cylinder? A cm 3 B cm 3 C cm 3 D cm 3

29 29. James wanted to fill his container with water. He wondered how much water he would need to fill it. Use the measurements in the diagram below to determine the container s volume.

30 30. Tiffany wants to calculate the volume of her globe. The globe is in the shape of a sphere, as represented by the picture below. She measured the circumference of the globe along the equator to be 24 inches. Which of the following measures is closest to the volume of Tiffany s globe? A. 46 cubic inches B. 61 cubic inches C. 183 cubic inches D. 234 cubic inches

31 31. Kate uses the formula below to calculate the volume of a sphere with radius r. V = 4 3 πr3 What is the approximate volume of a sphere with a radius of 3 inches? (π is approximately 3.14) A. 113 cubic inches B. 339 cubic inches C cubic inches D cubic inches

32 32. Madison is filling balloons with helium. When full, the balloons are nearly spherical in shape with a diameter of 12 inches. What is the approximate volume of each balloon when it is full? A. 115 cubic inches B. 450 cubic inches C. 680 cubic inches D. 900 cubic inches

33 33. In the diagram below, lines p and r are parallel. Line s is a transversal that is not perpendicular to lines p and r. Which angle is not congruent to 5? A. 1 B. 2 C. 3 D. 7

34 34. An engineer models a bridge crossing a river using two parallel lines to represent the riverbanks and two parallel lines to represent the bridge in the aerial view shown. The bridge is not perpendicular to the riverbanks. Which of the following statements about the angles formed between the bridge and the riverbanks must be true? A. 5 = 3 B. 1 = 2 C. 2 = 8 D. 1 = 8

35 35. In this diagram, which is a pair of alternate exterior angles? A. 3 and 5 B. 3 and 8 C. 1 and 7 D. 5 and 6

36 36. If x y and a b, then which pair of numbered angles must be supplementary? A. 1 and 2 B. 2 and 4 C. 3 and 5 D. 3 and 6

37 37. When framing in a wall, carpenters make sure that all vertical studs are perpendicular to the floor and ceiling. They sometimes add a diagonal brace for added support during construction (as shown in the drawing). When the vertical studs are perpendicular to the floor, which pair of angles will always be congruent? A. 1 and 2 B. 3 and 6 C. 5 and 7 D. 6 and 9

38 38. In the diagram below, Jill lives on Street q and Samantha lives on Street r. Since Street p is a transversal for streets q and r, which term describes the location of the angle of Samantha s friend s house? A. vertical angles B. adjacent angles C. alternate interior angles D. alternate exterior angles

39 39. If l m, which of the following is a pair of corresponding angles? A. 1, 3 B. 1, 4 C. 2, 3 D. 2, 4

40 40. Which of the following sets of numbers could represent the lengths of the sides of a triangle? A. 2, 2, 5 B. 3, 3, 5 C. 4, 4, 8 D. 5, 5, 15

41 41. Which set of line segments cannot be used to form a triangle? A. B. C. D.

42 42. Which is a correct statement about vertical angles? A. Vertical angles are always acute. B. Vertical angles are always congruent. C. Vertical angles are always supplementary. D. Vertical angles are always complementary.

43 43. Four line segments and their lengths are shown below. 3 cm 8 cm 12 cm 15 cm Three of the line segments will be used to form a triangle. Which lists all of the possible groups of the lengths of the line segments that could be used to form a triangle? A. 3 cm 12 cm 15 cm B. 8 cm 12 cm 15 cm C. 3 cm 8 cm 12 cm 3 cm 8 cm 15 cm D. 3 cm 8 cm 12 cm 3 cm 8 cm 15 cm 3 cm 12 cm 15 cm 8 cm 12 cm 15 cm

44 44. Which list shows the lengths of three line segments that could not form a triangle? A. 6 cm, 8 cm, 10 cm B. 5 cm, 6 cm, 7 cm C. 4 cm, 7 cm, 13 cm D. 3 cm, 6 cm, 6 cm

45 45. Which set of measurements could be the lengths of the sides of a triangle? A. 2 cm, 3 cm, 5 cm B. 3 cm, 4 cm, 7 cm C. 4 cm, 5 cm, 10 cm D. 5 cm, 7 cm, 11 cm