Rotations
Properties of Rotations
A quadrilateral has been rotated counterclockwise about a center using an angle. Construct a ray from the center of rotation through a blue pre-image point. Then construct a second, coterminous ray that goes through the corresponding image point. Use the angle tool to construct the angle of rotation for that pair of corresponding points.
Do the same for each blue pre-image point.
Observe
What do you notice about the angle of rotation for the different pairs of corresponding points?
Finding the Center
A perpendicular bisector has been constructed between a pair of corresponding points. Use the Perpendicular Bisector tool to construct the perpendicular bisectors for the other pairs of corresponding points. What do you notice?