Geometry Ch. 1 Test Review

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Geometry Ch. 1 Test Review

GEOMETRY CH. 1 TEST REVIEW ____ 5. Neil is adding a ribbon border to the edge of his kite. Two sides of the kite measure 9.2 inches, while the other two sides measure 18.8 inches. Multiple Choice How much ribbon does Neil need? Identify the choice that best completes the statement or a. 56 in. b. 28 in. c. 37.2 in. d. 46.8 in. answers the question. ____ 6. Judging by appearance, name an acute angle, an obtuse angle, and a right angle. ____ 1. Find the midpoint of y B 10 E A C 5

–10 –5P 5 10 x D a. c. –5 b. d. ____ 7. Which plane is parallel to plane BDHF?

Q –10

a. (–1, –5) b. (0, –4) c. (–1, –4) d. (0, –5) ____ 2. Dan wants to put a fence around his rectangular garden. His garden measures 38 feet by 54 feet. The garden has a path around it that is 3 feet wide. How much fencing material does Dan need to enclose the garden and path? a. 104 ft b. 160 ft c. 196 ft d. 208 ft ____ 3. Name the intersection of plane ACG and plane a. plane b. plane c. plane d. plane BCG. ABFE ACGE EGHF ACDB a. c. ____ 8. If and , then what b. d. The planes need not is the measure of The diagram is not to intersect. scale. ____ 4. Find the area of the circle in terms of .

36 in.

a. 324 b. 36 c. 72 d. 1296 a. 76 b. 68 c. 60 d. 8 in.2 in.2 in.2 in.2 ____ 9. Name the ray in the figure. M N ____ 13. The figure is formed from rectangles. Find the total area. The diagram is not to scale.

a. b. c. d.

____ 10. What can you conclude from the information in 2 ft the diagram? 10 ft 2 ft

L 12 ft

a. 104 b. 44 c. 148 d. 120 ____ 14. In the figure shown, . Which of Q the following statements is false? O N M

P

a. 1. 2. is a right angle 3. are adjacent angles b. 1. 2. is a right angle Not drawn to scale 3. are vertical angles a. DEC and AEB are vertical angles. c. 1. b. BEC and DEC are vertical angles. 2. c. 3. are adjacent angles d. d. 1. ____ 15. If and then what is the measure of The diagram is not to 2. scale. 3. are vertical angles ____ 11. Find the circumference of the circle to the nearest tenth.Use 3.14 for .

11 m

a. 20 b. 48 c. 40 d. 68 ____ 16. Name the line and plane shown in the diagram. a. 138.2 m b. 379.9 m c. 34.5 m d. 69.1 m ____ 12. Which point is the midpoint of ? O N A B C D E P

–8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 M a. B b. C c. not B, C, d. D or D a. and plane PM c. and plane . . MNP ____ 21. Find the perimeter of the rectangle. The drawing b. line M and plane d. and plane PO is not to scale. MNP ____ 17. Supplementary angles are two angles whose measures have sum ____. Complementary angles are two angles whose 50 ft measures have sum ____. a. 90; 45 b. 90; 180 c. 180; 90 d. 180; 360 72 ft ____ 18. Name the plane represented by the top of the a. 244 feet b. 172 feet c. 194 feet d. 122 feet box. ____ 22. Find the perimeter of with vertices A(–6, –8), B(0, –8), and C(–6, 0). y 10

a. FCG b. HCD c. BCD d. CGH 5 ____ 19. Name a fourth point in plane TUW. C –10 –5 5 10 x

–5

A –10 B

a. X b. Z c. W d. Y a. 14 units b. 28 units c. 24 units d. 114 ____ 20. Write an expression that gives the area of the units shaded region in the figure below. You do not have to evaluate the expression. The diagram is ____ 23. Name the ray that is opposite not to scale. D C 2 ft 10 ft B

A 3 ft a. b. c. d.

11 ft ____ 24. Noam walks home from school by walking 8 blocks north and then 6 blocks east. How much shorter would his walk be if there were a direct a c path from the school to his house? Assume that . . the blocks are square. b d a. 4 blocks c. 10 blocks b. 14 blocks d. The distance would be the same. ____ 25. How many pairs of intersecting lines are shown?

a. , c. ,

b. , d. ,

____ 31. Are points C, J, and B collinear or noncollinear? a. 24 b. 16 c. 8 d. 4 ____ 26. and are supplementary angles. , and . Find the measure of each angle. a. c. b d a. collinear b. noncollinear c. impossible . . to tell ____ 27. Find the coordinates of the midpoint of the ____ 32. Find the circumference of the circle in terms of segment whose endpoints are H(2, 14) and K(10, . 10). a. (12, 24) b. (8, 4) c. (4, 2) d. (6, 12) ____ 28. Which angle is an acute angle? a c 35 in. . .

b d . . a. 70 in. b. 35 in. c. 1225 d. 140 in. in. ____ 29. What is the intersection of plane STUV and ____ 33. Each unit on the map represents 5 miles. What is plane UYXT? the actual distance from Oceanfront to Seaside? y 8 6 Seaside 4 2

–8 –6 –4 –2 2 4 6 8 x –2 Landview Oceanfront –4 a. b. c. d. –6 ____ 30. If then what are and –8 The diagram is not to scale. a. 50 miles c. 10 miles ____ 39. Vivian has 78 feet of fencing to make a b. about 40 miles d. about 8 miles rectangular vegetable garden. Which dimensions ____ 34. Which diagram shows plane PQR and plane will give Vivian the garden with greatest area? The diagrams are not to scale. QRS intersecting only in ? a c 20 ft a c . . 21 ft . .

19 ft 18 ft

b d . 22 ft . 23 ft

17 ft b d 16 ft . .

____ 40. Are W, V, and U collinear? If so, name the line on which they lie.

W

V ____ 35. If and are supplementary angles and , find and U X a. 18, 72 b. 72, 18 c. 144, 36 d. 36, 144 ____ 36. M is the midpoint of for the points C(5, 5) and F(9, 9). Find MF. a. No, the three points are not collinear. a. 2 2 b. 8 c. 4 2 d. 16 b. Yes, they lie on the line UX. ____ 37. If c. Yes, they lie on the line UW. find the values of x, EF, and FG. The drawing is d. Yes, they lie on the line VX. not to scale. ____ 41. Name the three labeled segments that are E F G parallel to

a. x = 1, EF = –12, FG c. x = 1, EF = 8, FG = = –10 20 b. x = 11, EF = 36, FG d. x = 11, EF = 8, FG = 46 = 20 ____ 38. Two angles whose sides are opposite rays are called ____ angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called ____ angles. a. adjacent; complementary b. vertical; supplementary a. , b. , c. , d. , c. vertical; adjacent , , , , , d. adjacent; vertical ____ 42. M(9, 9) is the midpoint of The coordinates a. No b. Any c. Sometimes of S are (10, 10). What are the coordinates of R? ____ 49. If the perimeter of a square is 72 inches, what is a. (9.5, b. (18, 18) c. (11, 11) d. (8, 8) its area? 9.5) a. 5,184 b. 72 c. 18 d. 324 ____ 43. Name the four labeled segments that are skew to ____ 50. A high school soccer team is going to Columbus to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates of the rest stop? What is the approximate distance between the high school and the stadium? (One unit 9.3 miles.) a. c. , 46.5 miles , 5 miles

a. , , , c. , , , b. d. b. , , , d. , , , , 23.25 miles , 232.5 miles ____ 44. If T is the midpoint of find the values of x ____ 51. The Frostburg-Truth bus travels from Frostburg and ST. The diagram is not to scale. Mall through the City Center to Sojourner Truth Park. The mall is 2 miles west and 4 miles south S T U of the City Center. Truth Park is 3 miles east and 5x 3x + 26 4 miles north of the Center. How far is it from Truth Park to the Mall to the nearest tenth of a a. x = 18, ST = 84 c. x = 18, ST = 65 mile? b. x = 13, ST = 65 d. x = 13, ST = 84 a. 1 miles b. 5 miles c. 9.4 d. 4.5 ____ 45. Find, to the nearest tenth, the area of the region miles miles that is inside the square and outside the circle. ____ 52. How are the two angles related? The circle has diameter 10 inches.

77°

103°

a. 5.4 b. 100 c. 78.5 d. 21.5 Drawing not to scale a. vertical c. complementary ____ 46. Find the distance between points P(3, 4) and b. supplementary d. adjacent Q(4, 1) to the nearest tenth. ____ 53. and are complementary angles. m a. 8.6 b. 10 c. 3.2 d. 4 = , and m = . Find the ____ 47. Plane ABC and plane BCE ____ be the same measure of each angle. plane. a. = 51, c. = 48, a. may b. must c. cannot = 49 = 52 b. = 48, d. = 51, ____ 48. ____ two points are collinear. = 42 = 39 ____ 54. Find BD.

A B C D

–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 a. 9 b. 11 c. 3 d. 10 ____ 55. and ____ be coplanar. a. may b. cannot c. must ____ 56. Name an angle supplementary to

a. b. c. d. ____ 57. The complement of an angle is 43°. What is the measure of the angle? a. 57° b. 47° c. 137° d. 147° ____ 58. Find the area of a rectangle with base 6 yd and height 5 ft. a. 90 ft b. 30 yd c. 30 ft d. 90 yd GEOMETRY CH. 1 TEST REVIEW Answer Section

MULTIPLE CHOICE

1. ANS: D 30. ANS: C 2. ANS: D 31. ANS: A 3. ANS: B 32. ANS: A 4. ANS: A 33. ANS: B 5. ANS: A 34. ANS: B 6. ANS: B 35. ANS: C 7. ANS: B 36. ANS: A 8. ANS: B 37. ANS: D 9. ANS: D 38. ANS: C 10. ANS: D 39. ANS: A 11. ANS: D 40. ANS: C 12. ANS: B 41. ANS: B 13. ANS: A 42. ANS: D 14. ANS: B 43. ANS: B 15. ANS: A 44. ANS: B 16. ANS: C 45. ANS: D 17. ANS: C 46. ANS: C 18. ANS: C 47. ANS: A 19. ANS: B 48. ANS: B 20. ANS: C 49. ANS: D 21. ANS: A 50. ANS: A 22. ANS: C 51. ANS: C 23. ANS: D 52. ANS: B 24. ANS: A 53. ANS: D 25. ANS: A 54. ANS: A 26. ANS: D 55. ANS: A 27. ANS: D 56. ANS: C 28. ANS: A 57. ANS: B 29. ANS: B 58. ANS: A

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