High School Math based on the topics required for the Regents Exam conducted by NYSED.
A rotation is an isometric transformation: the original figure and the image are congruent. The orientation of the image also stays the same, unlike reflections. To perform a geometry rotation, we first need to know the point of rotation, the angle of rotation, and a direction (either clockwise or counterclockwise). A rotation is also the same as a composition of reflections over intersecting lines.
The following figures show rotation about a point and rotation as a double reflection.
Math - Rotation of figures
How to rotate a figure "x" degrees around a point?
Composition of Reflections over 2 Intersecting Lines
The composition of reflections over 2 intersecting lines results in an image that is a rotation double the angle between the intersecting lines.
Rotations Part 1
Rotations Part 2
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