CK12 - Geometry

Rotationsin General

Let be a polygonmatrix.The matrixfor the imageof the polygonin a rotationof degreesis the

product , where

Example 2

Verify that the matrixproductfor a rotationis a specialcaseof this formulafor a generalrotation.

We knowthat and.

For , the generalmatrixproductis

Notethat this is the matrixproductfor a rotation.(Seeabove.)

Example 3

The point is rotated. Whatare the coordinatesof?

The coordinatesof are.