2D Geometry Chapter Questions



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Kobrin/Losquadro Math 8

Transformations Final Exam Review 2

Complete the translation and write the rule to describe the translation.

1. Translate the figure right 2 units and up 1 unit.

a. (x, y)

[pic]

2. Translate the figure up 1 unit.

a. (x, y)

[pic]

3. Translate the figure left 1 unit and down 2 units.

a. (x, y)

[pic]

4. Translate the figure right 7 units and down 3 units.

a. (x, y)

[pic]

5. Translate the figure left 3 units.

a. (x, y)

[pic]

6. Translate the figure left 2 units and up 4 units.

a. (x, y)

[pic]

7. Translate the figure left 3 units and up 3 units.

a. (x, y)

[pic]

8. Translate the figure right 2 units and up 2 units.

a. (x, y)

[pic]

9. Translate the figure left 3 units and down 4 units.

a. (x, y)

[pic]

10. Translate the figure right 1 unit and up 2 units.

a. (x, y)

[pic]

11. Translate the figure down 4 units.

a. (x, y)

[pic]

12. Translate the figure right 4 units and down 2 units.

a. (x, y)

[pic]

13. Complete the described rotation. State the new coordinates

Complete the described reflections. State the new coordinates

14.

[pic]

15.

[pic]

16.

17.

[pic]

18. What rule describes the translation left 3 units and up 4 units?

a. (x,y) [pic]( x + 3, y + 4)

b. (x,y) [pic](x + 3, y - 4)

c. (y, x) [pic](x-3, y + 4)

d. (x,y) [pic](x- 3, y + 4)

19. What translation does the rule (x,y)[pic](x – 7, y) describe?

a. Right 7 units

b. Left 7 units

c. Up 7 units

d. Down 7 units

20. What are the new coordinates of a point A (3, -2) after a 90° rotation counterclockwise?

a. (3, 2)

b. (-3, 2)

c. (-3, -2)

d. (2, 3)

21. What are the coordinates of a point C( -1, 6 ) after a dilation with a scale factor of 1/3?

a. (-3, 18)

b. (6, -1)

c. (-1/3, 2)

d. (3, -18)

22. What is the scale factor of a point if it changes as follows after a dilation?

(4, 23) (20, 115)

a. -5

b. 5

c. 16

d. 1/5

23. What makes two figures similar?

a. same size, same shape

b. same shape, different angles, proportional sides

c. same shape, congruent angles, proportional sides

d. same size, same shape, different angles

24. Translate the figure shown using the following rule: (x,y) ( x - 11 ,y + 4)

25. Rotate the figure 90º clockwise about the origin.

26. Reflect the figure across the x-axis.

27. Dilate the figure by ½

1. (x, y) (x+2, y+1)

[pic]

2. (x, y) (x, y+1)

[pic]

3. (x, y) (x-1, y-2)

[pic]

4. (x, y) (x+7, y-3)

[pic]

5. (x, y) (x-3, y)

[pic]

6. (x, y) (x-2, y+4)

[pic]

7. (x, y) (x-3, y+3)

[pic]

8. (x, y) (x+2, y+2)

[pic]

9. (x, y) (x-3, y-4)

[pic]

10. (x, y) (x+1, y+2)

[pic]

11. (x, y) (x, y-4)

[pic]

12. (x, y) (x+4, y-2)

[pic]

13. 180° / Half-turn

14.

[pic]

15.

[pic]

16. 320° CCW

17. 235° CW

18. 160° CW

19. 110° CCW

20. 180° CCW / Half-turn

21. A’ (-2, -5)

22. H’ (4, -3)

23. B’ (-12, 8)

24. X’ (2, 8)

25. 180° CCW / Half-turn

26.

[pic]

27.

[pic]

28. 345° CW

29. 150° CCW

30. 230° CW

31. 60° CCW

32. 185° CCW

33. F’ (9, -4)

34. G’ (-2, -8)

35. R’ (-2, -5)

36. T’ (-4, 13)

37. Answers will vary.

38. [pic]

39. [pic]

40. [pic]

41. [pic]

42. Across y= -1

43. Across y = x

[pic]

44.

[pic]

45.

[pic]

46.

47. [pic]

48. Across x= 2

49. Across x-axis

50. They are multiplied by 3

51. R’ (-1½, 3)

52. W’ (6, 27)

53. D’ (16, -8)

54. Q’ (1½, -4.5)

55. SF = 2

56. SF = 3

57. SF = ½

58. SF = [pic]

59. SF = 2½

60. They are multiplied by ½

61. G’ (4, 8)

62. J’ (-1, 3)

63. T’ (-14, 17.5)

64. Y’ (-8, 24)

65. SF = 3

66. SF = 2

67. SF = ¼

68. SF = 1½

69. SF = ½

70.

[pic]

71.

[pic]

72. Yes; 120°, 240°

73. Yes; 60°, 120°, 180°, 240°, 300°

74. Yes; 180°

75. No

76.

[pic]

77.

[pic]

78. Yes; 72°, 144°, 216°, 288°

79. Yes; 90°, 180°, 270°

80. Yes; Infinitely Many

81. None

82. Similar; Dilation [pic]; (x, y) (x+5, y-2)

83. Congruent; Reflect over y-axis;

(x, y) (x, y-3)

84. Congruent: (x, y) (x-8, y-5)

85. Congruent; Rotate 90° CCW

86. Similar; Dilation Scale Factor ¼; Rotate 90° CCW

87. Congruent; Reflect over y=3;

(x, y) (x+3, y)

88. Congruent; Rotate 90° CW

89. Similar; Dilation Scale Factor ½; Reflect over y-axis

90. Similar; Dilation S.F. 2;

(x, y) (x-10, y-7)

91. Congruent; Rotate 90° CW, than Reflection over y=0

92. [pic] [pic] [pic] [pic]

93. [pic] [pic]

94. [pic] [pic]

95. [pic] [pic]

96. [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic]

97. [pic] [pic] [pic] [pic]

98. [pic] [pic]

99. [pic] [pic]

100. [pic] [pic]

101. [pic] [pic] [pic] [pic]

102. [pic] [pic]

103. [pic] [pic]

104. [pic] [pic]

105. [pic] [pic] [pic] [pic]

[pic] [pic] [pic] [pic]

106. [pic] [pic] [pic] [pic]

107. [pic] [pic]

108. [pic] [pic]

109. [pic] [pic]

Unit Review Answers

1. d

2. b

3. c

4. d

5. d

6. c

7. b

8. c

9. c

10. c

11. b

12. d

13. a

14. a

15. a

16. A’(-3,-1); B’(-6,-1); C’( -7,1)

17. A’(3,-2); B’(6,2); C’(6,7); D’(3,7)

18. A’(-3,-2); B’(-6,-2); C’(-6,-7); D’(-3,-7)

19. a. 297° counterclockwise

b. 123° clockwise

a. 305° clockwise

20. square, flower, and arrow should be circled.

21. answers will vary

22. answers will vary

23. answers will vary

24. answers will vary

25. ∠1,∠4,∠5,∠8 = 70° ; ∠3,∠6,∠7 = 110°

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the y-axis

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