2D Geometry Chapter Questions
Name: __________________________________ Date: ____________________
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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