quadrilateral ( abcd ) is the image of quadrilateral ( abcd ) under a rotation about point ( q ).\ndetermine…

quadrilateral ( abcd ) is the image of quadrilateral ( abcd ) under a rotation about point ( q ).\ndetermine the angles of rotation.\nchoose all answers that apply:\na ( 90^{circ} ) clockwise\nb ( 90^{circ} ) counterclockwise\nc ( 180^{circ} )\nd ( 270^{circ} ) clockwise\ne ( 270^{circ} ) counterclockwise

quadrilateral ( abcd ) is the image of quadrilateral ( abcd ) under a rotation about point ( q ).\ndetermine the angles of rotation.\nchoose all answers that apply:\na ( 90^{circ} ) clockwise\nb ( 90^{circ} ) counterclockwise\nc ( 180^{circ} )\nd ( 270^{circ} ) clockwise\ne ( 270^{circ} ) counterclockwise

Answer

Explanation:

Step1: Understand rotation properties

Rotation is a transformation where a figure is turned around a fixed point. Clockwise rotation is in the direction of a clock's hands, and counter - clockwise is the opposite. The sum of clockwise and counter - clockwise rotation angles for a full - circle (360°) is 360°.

Step2: Analyze angle relationships

If we consider a rotation of (x) degrees clockwise and (y) degrees counter - clockwise, (x + y=360^{\circ}). For a 90° clockwise rotation ((x = 90^{\circ})), the equivalent counter - clockwise rotation (y=360^{\circ}-90^{\circ}=270^{\circ}).

Answer:

A. (90^{\circ}) clockwise, E. (270^{\circ}) counterclockwise