Question

quadrilateral ( abcd ) is the image of quadrilateral ( abcd ) under a rotation about point ( q ).
determine the angles of rotation.
choose all answers that apply:
a ( 90^{circ} ) clockwise
b ( 90^{circ} ) counterclockwise
c ( 180^{circ} )
d ( 270^{circ} ) clockwise
e ( 270^{circ} ) counterclockwise

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