Question

b) were the angle measures preserved during this rotation? describe how you made your decision.
c) are rotations rigid transformations? explain.

Explanation:

b) Angle measures are preserved in a rotation because rotation is a rigid - motion transformation. Rigid - motion transformations maintain the shape and size of the figure, and thus the angle measures remain the same.
c) Rotations are rigid transformations. A rigid transformation preserves distance and angle measures. In a rotation, the pre - image and the image have the same side lengths and angle measures. The orientation of the figure changes, but the shape and size remain identical.

Answer:

b) Yes. Rotation is a rigid - motion transformation that preserves angle measures.
c) Yes. Rotations preserve distance and angle measures, which are the characteristics of rigid transformations.