GEOMETRY CH - Notre Dame Academy



GEOMETRY CH. 1 TEST REVIEW

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. Find the midpoint of [pic]

[pic]

|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 BCG.

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |The planes need not intersect.|

____ 4. Find the area of the circle in terms of π.

[pic]

|a. |324π in.2 |b. |36π in.2 |c. |72π in.2 |d. |1296π in.2 |

____ 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. How much ribbon does Neil need?

|a. |56 in. |b. |28 in. |c. |37.2 in. |d. |46.8 in. |

____ 6. Judging by appearance, name an acute angle, an obtuse angle, and a right angle.

[pic]

|a. |[pic] [pic] [pic] |c. |[pic] [pic] [pic] |

|b. |[pic] [pic] [pic] |d. |[pic] [pic] [pic] |

____ 7. Which plane is parallel to plane BDHF?

[pic]

|a. |plane ABFE |b. |plane ACGE |c. |plane EGHF |d. |plane ACDB |

____ 8. If [pic] and [pic], then what is the measure of [pic] The diagram is not to scale.

[pic]

|a. |76 |b. |68 |c. |60 |d. |8 |

____ 9. Name the ray in the figure.

[pic]

|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |

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

[pic]

|a. |1. [pic] |

| |2. [pic] is a right angle |

| |3. [pic] are adjacent angles |

|b. |1. [pic] |

| |2. [pic] is a right angle |

| |3. [pic] are vertical angles |

|c. |1. [pic] |

| |2. [pic] |

| |3. [pic] are adjacent angles |

|d. |1. [pic] |

| |2. [pic] |

| |3. [pic] are vertical angles |

____ 11. Find the circumference of the circle to the nearest tenth.Use 3.14 for π.

[pic]

|a. |138.2 m |b. |379.9 m |c. |34.5 m |d. |69.1 m |

____ 12. Which point is the midpoint of [pic]?

[pic]

|a. |B |b. |C |c. |not B, C, or|d. |D |

| | | | | |D | | |

____ 13. The figure is formed from rectangles. Find the total area. The diagram is not to scale.

[pic]

|a. |104 [pic] |b. |44 [pic] |c. |148 [pic] |d. |120 [pic] |

____ 14. In the figure shown, [pic]. Which of the following statements is false?

[pic]

Not drawn to scale

|a. |[pic]DEC and [pic]AEB are vertical angles. |

|b. |[pic]BEC and [pic]DEC are vertical angles. |

|c. |[pic] |

|d. |[pic] |

____ 15. If [pic] and [pic] then what is the measure of [pic] The diagram is not to scale.

[pic]

|a. |20 |b. |48 |c. |40 |d. |68 |

____ 16. Name the line and plane shown in the diagram.

[pic]

|a. |[pic] and plane PM |c. |[pic] and plane MNP |

|b. |line M and plane MNP |d. |[pic] and plane PO |

____ 17. Supplementary angles are two angles whose measures have sum ____.

Complementary angles are two angles whose measures have sum ____.

|a. |90; 45 |b. |90; 180 |c. |180; 90 |d. |180; 360 |

____ 18. Name the plane represented by the top of the box.

[pic]

|a. |FCG |b. |HCD |c. |BCD |d. |CGH |

____ 19. Name a fourth point in plane TUW.

[pic]

|a. |X |b. |Z |c. |W |d. |Y |

____ 20. Write an expression that gives the area of the shaded region in the figure below. You do not have to evaluate the expression. The diagram is not to scale.

[pic]

|a.|[pic] |c.|[pic] |

|b.|[pic] |d.|[pic] |

____ 21. Find the perimeter of the rectangle. The drawing is not to scale.

[pic]

|a. |244 feet |b. |172 feet |c. |194 feet |d. |122 feet |

____ 22. Find the perimeter of [pic] with vertices A(–6, –8), B(0, –8), and C(–6, 0).

[pic]

|a. |14 units |b. |28 units |c. |24 units |d. |114 units |

____ 23. Name the ray that is opposite [pic]

[pic]

|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |

____ 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 path from the school to his house? Assume that the blocks are square.

|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?

[pic]

|a. |24 |b. |16 |c. |8 |d. |4 |

____ 26. [pic] and [pic] are supplementary angles. [pic], and [pic]. Find the measure of each angle.

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 27. Find the coordinates of the midpoint of the 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.|[pic] |c.|[pic] |

|b.|[pic] |d.|[pic] |

____ 29. What is the intersection of plane STUV and plane UYXT?

[pic]

|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |

____ 30. If [pic] then what are [pic] and [pic] The diagram is not to scale.

[pic]

|a. |[pic], [pic] |c. |[pic], [pic] |

|b. |[pic], [pic] |d. |[pic], [pic] |

____ 31. Are points C, J, and B collinear or noncollinear?

[pic]

|a. |collinear |b. |noncollinear |c. |impossible to |

| | | | | |tell |

____ 32. Find the circumference of the circle in terms of π.

[pic]

|a. |70π in. |b. |35π in. |c. |1225π in. |d. |140π in. |

____ 33. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?

[pic]

|a. |50 miles |c. |10 miles |

|b. |about 40 miles |d. |about 8 miles |

____ 34. Which diagram shows plane PQR and plane QRS intersecting only in [pic]?

|a.|[pic] |c.|[pic] |

|b.|[pic] |d.|[pic] |

____ 35. If [pic] and [pic] are supplementary angles and [pic], find [pic] and [pic]

|a. |18, 72 |b. |72, 18 |c. |144, 36 |d. |36, 144 |

____ 36. M is the midpoint of [pic] for the points C(5, 5) and F(9, 9). Find MF.

|a. |[pic] |b. |8 |c. |[pic] |d. |16 |

____ 37. If [pic] find the values of x, EF, and FG. The drawing is not to scale.

[pic]

|a. |x = 1, EF = –12, FG = –10 |c. |x = 1, EF = 8, FG = 20 |

|b. |x = 11, EF = 36, FG = 46 |d. |x = 11, EF = 8, FG = 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 |

|c. |vertical; adjacent |

|d. |adjacent; vertical |

____ 39. Vivian has 78 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Vivian the garden with greatest area? The diagrams are not to scale.

|a.|[pic] |c.|[pic] |

|b.|[pic] |d.|[pic] |

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

[pic]

|a. |No, the three points are not collinear. |

|b. |Yes, they lie on the line UX. |

|c. |Yes, they lie on the line UW. |

|d. |Yes, they lie on the line VX. |

____ 41. Name the three labeled segments that are parallel to [pic]

[pic]

|a. |[pic], |b. |[pic], |c. |[pic], |d. |[pic], |

| |[pic], | |[pic], | |[pic], [pic]| |[pic], |

| |[pic] | |[pic] | | | |[pic], |

____ 42. M(9, 9) is the midpoint of [pic] The coordinates of S are (10, 10). What are the coordinates of R?

|a. |(9.5, 9.5) |b. |(18, 18) |c. |(11, 11) |d. |(8, 8) |

____ 43. Name the four labeled segments that are skew to [pic]

[pic]

|a. |[pic], [pic], [pic], [pic] |c. |[pic], [pic], [pic], [pic] |

|b. |[pic], [pic], [pic], [pic] |d. |[pic], [pic], [pic], [pic] |

____ 44. If T is the midpoint of [pic] find the values of x and ST. The diagram is not to scale.

[pic]

|a. |x = 18, ST = 84 |c. |x = 18, ST = 65 |

|b. |x = 13, ST = 65 |d. |x = 13, ST = 84 |

____ 45. Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The circle has diameter 10 inches.

[pic]

|a. |5.4 [pic] |b. |100 [pic] |c. |78.5 [pic] |d. |21.5 [pic] |

____ 46. Find the distance between points P(3, 4) and Q(4, 1) to the nearest tenth.

|a. |8.6 |b. |10 |c. |3.2 |d. |4 |

____ 47. Plane ABC and plane BCE ____ be the same plane.

|a. |may |b. |must |c. |cannot |

____ 48. ____ two points are collinear.

|a. |No |b. |Any |c. |Sometimes |

____ 49. If the perimeter of a square is 72 inches, what is its area?

|a. |5,184 [pic] |b. |72 [pic] |c. |18 [pic] |d. |324 [pic] |

____ 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 [pic] 9.3 miles.)

|a. |[pic], 46.5 miles |c. |[pic], 5 miles |

|b. |[pic], 23.25 miles |d. |[pic], 232.5 miles |

____ 51. The Frostburg-Truth bus travels from Frostburg Mall through the City Center to Sojourner Truth Park. The mall is 2 miles west and 4 miles south of the City Center. Truth Park is 3 miles east and 4 miles north of the Center. How far is it from Truth Park to the Mall to the nearest tenth of a mile?

|a. |1 miles |b. |5 miles |c. |9.4 miles |d. |4.5 miles |

____ 52. How are the two angles related?

[pic]

|a. |vertical |c. |complementary |

|b. |supplementary |d. |adjacent |

____ 53. [pic] and [pic] are complementary angles. m[pic] = [pic], and m[pic] = [pic]. Find the measure of each angle.

|a. |[pic] = 51, [pic] = 49 |c. |[pic] = 48, [pic] = 52 |

|b. |[pic] = 48, [pic] = 42 |d. |[pic] = 51, [pic] = 39 |

____ 54. Find BD.

[pic]

|a. |9 |b. |11 |c. |3 |d. |10 |

____ 55. [pic] and [pic] ____ be coplanar.

|a. |may |b. |cannot |c. |must |

____ 56. Name an angle supplementary to [pic]

[pic]

|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |

____ 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[pic] |b. |30 yd[pic] |c. |30 ft[pic] |d. |90 yd[pic] |

GEOMETRY CH. 1 TEST REVIEW

Answer Section

MULTIPLE CHOICE

1. ANS: D

2. ANS: D

3. ANS: B

4. ANS: A

5. ANS: A

6. ANS: B

7. ANS: B

8. ANS: B

9. ANS: D

10. ANS: D

11. ANS: D

12. ANS: B

13. ANS: A

14. ANS: B

15. ANS: A

16. ANS: C

17. ANS: C

18. ANS: C

19. ANS: B

20. ANS: C

21. ANS: A

22. ANS: C

23. ANS: D

24. ANS: A

25. ANS: A

26. ANS: D

27. ANS: D

28. ANS: A

29. ANS: B

30. ANS: C

31. ANS: A

32. ANS: A

33. ANS: B

34. ANS: B

35. ANS: C

36. ANS: A

37. ANS: D

38. ANS: C

39. ANS: A

40. ANS: C

41. ANS: B

42. ANS: D

43. ANS: B

44. ANS: B

45. ANS: D

46. ANS: C

47. ANS: A

48. ANS: B

49. ANS: D

50. ANS: A

51. ANS: C

52. ANS: B

53. ANS: D

54. ANS: A

55. ANS: A

56. ANS: C

57. ANS: B

58. ANS: A

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