Rotations Assignment

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

A

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✔ (3, -6) B)✔ (1, 2) C)✔ (7, -1)

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

C

A rectangle was rotated 270° about the origin. The image is shown. Which points are vertices of the pre-image? Check all that apply.

M(3, 2) N(3, 1)

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

No, the vertices of the image and pre-image do not correspond.

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?

R0, 270°

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

R0, 90°

Which are not changed after a rotation? Check all that apply.

angle measures size shape position of center of rotation

Examine the rotation. Which best describes point D?

center of rotation

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.

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.