Rotations

Question 1

Examine the rotation. Which best describes point D?

Revolt · Accepted Answer

center of rotation

Question 2

Question 2

Revolt · Accepted Answer

(1, 2)

Question 3

Question 3

Revolt · Accepted Answer

(7, -1)

Question 4

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

Revolt · Accepted Answer

[Image: On a coordinate plane, 2 rectangles are shown. The...]

Question 5

Triangle ABC was rotated about the origin. Which rule describes the rotation?

Revolt · Accepted Answer

R0, 90°

Question 6

Which are not changed after a rotation? Check all that apply.angle measuresorientationsizeshapeposition of center of rotation

Revolt · Accepted Answer

angle measures; size; shape; position of center of rotation

Question 7

After a rotation, A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). Which rule describes the rotation?

Revolt · Accepted Answer

R0, 270°

Question 8

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

Revolt · Accepted Answer

[Image: On a coordinate plane, 2 triangles are shown. The ...]

Question 9

After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(–2, 1), and C'(1, 7). What are the coordinates of the vertices of the pre-image? A B C

Revolt · Accepted Answer

(3, -6); Selection 1: (3, -6); Selection 2: (1, 2); Selection 3: (7, -1)

Question 10

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.

Revolt · Accepted 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 preimage and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.

Rotations Answers

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