Question

trapezoid wxyz is rotated 90° clockwise around point a to create trapezoid wxyz. what must be true? a angle w is half the measure of angle w b wx is equal to wx c wx is perpendicular to yz d wz is equal to wx

Explanation:

Step1: Recall rotation property

A rotation is a rigid - motion transformation.

Step2: Understand rigid - motion

Rigid - motion transformations (like rotation) preserve side - lengths and angle - measures.

Step3: Analyze side - length preservation

Since rotation is a rigid motion, the length of any side of the original trapezoid is equal to the length of the corresponding side of the rotated trapezoid. So, side WX in trapezoid WXYZ is equal to side W'X' in trapezoid W'X'Y'Z'.

Answer:

B. WX is equal to W'X'