Rotations - Concept

Concept Concept (1)

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.

Sample Sample Problems (4)

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Rotations - Problem 1
Problem 1
How to describe the transformation (x, y) -> (-x, -y).
Rotations - Problem 2
Problem 2
How to rotate a given figure a given degree measure about a given point.
Rotations - Problem 3
Problem 3
How to find the angle of rotation in an isometry where the point of rotation is not given.
Rotations - Problem 4
Problem 4
How to rotate a point about the origin a given degree measure in the coordinate plane.