Rotations Answers

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1
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Examine the rotation. Which best describes point D?

A
angle of rotation
B
center of rotation
C
image
D
pre-image
2
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(-1, 2)✔ (1, 2)(2, -1)(2, 1)

A
(-1, 2)
B
(1, 2)
C
(2, -1)
D
(2, 1)
3

(-7, -1)(-1, -7)(1, -7)✔ (7, -1)

A
(-7, -1)
B
(-1, -7)
C
(1, -7)
D
(7, -1)
4

Which shows the image of rectangle ABCD after the rotation (x, y) → (–y, x)?

A
[Image: On a coordinate plane, 2 rectangles are shown. The...]
Option A
B
[Image: On a coordinate plane, 2 rectangles are shown. The...]
Option B
C
[Image: On a coordinate plane, 2 rectangles are shown. The...]
Option C
D
[Image: On a coordinate plane, 2 rectangles are shown. The...]
Option D
8

Which shows the image of triangle WXY after the transformation R0, –90°(x, y)?

A
[Image: On a coordinate plane, 2 triangles are shown. The ...]
Option A
B
[Image: On a coordinate plane, 2 triangles are shown. The ...]
Option B
C
[Image: On a coordinate plane, 2 triangles are shown. The ...]
Option C
D
[Image: On a coordinate plane, 2 triangles are shown. The ...]
Option D
9

Micaela tried to rotate the square 180° about the origin. Is her rotation correct? If not, explain why.

A
No, she translated the figure instead of rotating it.
B
No, she reflected the figure instead of rotating it.
C
No, the vertices of the image and pre-image do not correspond.
D
Yes, the rotation is correct.
11

(-6, -3)(-3, 6)✔ (3, -6)(3, 6)

A
(-6, -3)
B
(-3, 6)
C
(3, -6)
D
(3, 6)
12

Describe the general properties of rotations. Include a discussion of the properties of rigid transformations, and line segments connecting corresponding points to each other and to the center of rotation.

Answer:

Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the figure. However, the orientation is not preserved. Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.

13

What did you include in your response? Check all that apply.

A
Rotations preserve the size, length, shape, and angle measures.
B
The orientation is not preserved.
C
Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length.
D
Line segments connecting corresponding vertices are not parallel.

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Rotations Answers — High School Math 2 A