Question

quadrilateral abcd is the image of quadrilateral abcd under a rotation about the origin, (0, 0).
determine the angle of rotation.
choose 1 answer:
a ( 135^circ )
b ( 150^circ )
c ( 165^circ )
d ( 180^circ )

Explanation:

Step1: Identify a point and its image

Take point $A(3,4)$ and its image $A'(-3,-4)$

Step2: Check rotation rule

A rotation that maps $(x,y)$ to $(-x,-y)$ is a $180^\circ$ rotation about the origin.

Step3: Verify with another point

Take point $B(2,5)$ and its image $B'(-2,-5)$, which follows the same $(x,y)\to(-x,-y)$ rule.

Answer:

D. $180^\circ$