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High School Math based on the topics required for the Regents Exam conducted by NYSED.

Geometry Rotation
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.

rotation, 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

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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