Question

1. use figure a and point p to answer the following questions. a. describe a sequence of rotations that maps figure a back onto itself. b. describe a single rotation that maps figure a back onto itself.

Explanation:

Step1: Analyze the properties of a parallelogram

A parallelogram has rotational symmetry.

Step2: Determine the sequence of rotations

Rotating a parallelogram 180 - degree about its center and then another 180 - degree about the same center will map it onto itself.

Step3: Find the single rotation

A single 360 - degree rotation about the center of the parallelogram will map it onto itself.

Answer:

a. Rotate 180 - degree about the center of figure A, then rotate another 180 - degree about the same center.
b. Rotate 360 - degree about the center of figure A.