Question

quadrilateral ( a ^ { prime } b ^ { prime } c ^ { prime } d ^ { prime } ) is the image of quadrilateral ( a b c d ) under a rotation about point ( p ).
determine the angle of rotation.
choose 1 answer:

Explanation:

Step1: Recall rotation property

When a figure is rotated about a point, the angle of rotation is the measure of the angle between a pre - image point and its corresponding image point with the center of rotation as the vertex.

Step2: Identify corresponding points

Let's consider point \(C\) (pre - image) and \(C'\) (image). The angle between \(PC\) and \(PC'\) is the angle of rotation.

Step3: Determine the angle

Since the rotation is counter - clockwise (assuming the standard orientation of the figure in such problems) and by observing the right - angle symbol in the figure (if we consider the rotation of a part of the quadrilateral that has a right - angle in the pre - image and its corresponding part in the image), the angle of rotation is \(180^{\circ}\).

Answer:

\(180^{\circ}\)