Question

Describe the general properties of rotations. Include a discussion of the properties of rigid transformations

Answer 1

A rotation is a rigid transformation, sometimes called an isometric transformation, that moves every point of the pre-image through an angle of rotation about the center of rotation to create an image. Rotations preserve size, rotations of 360 map a figure to itself, and lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.

Step-by-step explanation:

Answer 2

A rotation, also known as isometric transformation is a rigid transformation, that moves every point of the pre-image through an angle of rotation about the center of rotation to create an image, the degree of rotation is the amount of turning that the shape will do. Rotations preserve size, rotations of 360 map a figure to itself, and lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.

Rotations move lines to lines, rays to rays, segments to segments, angles to angles, and parallel lines to parallel lines, similar to translations and reflections.

Rotations preserve lengths of segments and degrees of measures of angles similar to translations and reflections.

Rotations require more than one piece of information (i.e., center of rotation and degree may also be required), whereas translations require only a vector, since it possesses both magnitude and direction, and reflections require only a line of reflection.