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 original figure. The distance from the center of rotation to a point on the pre-image is equal to the distance from the center of rotation to the corresponding point on the image. However, rotations do not preserve the orientation of the figure in the plane, and the line segments connecting corresponding vertices are not parallel to each other.
What did you include in your response? Check all that apply.
(-7, -1)(-1, -7)(1, -7)✔ (7, -1)
Which are not changed after a rotation? Check all that apply.angle measuresorientationsizeshapeposition of center of rotation
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?
Micaela tried to rotate the square 180° about the origin. Is her rotation correct? If not, explain why.
A rectangle was rotated 270° about the origin.The image is shown.Which points are vertices of the pre-image? Check all that apply.
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?
(-1, 2)✔ (1, 2)(2, -1)(2, 1)
Did you find these answers helpful?