Practice Rotation in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A rigid transformation that turns every point of a figure by a fixed angle around a fixed center of rotation.

Like a Ferris wheel turning around its center hub—every seat traces a circle, staying the same distance from the axle while sweeping through the same angle.

Example 1

easy
Rotate the point A(3, 2) by 90° counterclockwise about the origin. Where does A end up?

Example 2

medium
Rotate the point B(4, 0) by 60° counterclockwise about the origin. Give exact coordinates.

Example 3

easy
What is the image of point (0, 5) after a 180° rotation about the origin?

Example 4

hard
Triangle with vertices A(1,0), B(3,0), C(2,2) is rotated 90° CCW about the point (1,0). Find the new vertices.
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