Question

the image (green) is the result of a transformation on the pre - image (blue). * 1 point which transformation would accomplish this? a rotation 90° clockwise about the origin a reflection over the x - axis a rotation 90° counterclockwise about the origin a reflection over the y - axis

Explanation:

Step1: Recall transformation rules

For a 90° clockwise rotation about origin, $(x,y)\to(y, - x)$. For a reflection over x - axis, $(x,y)\to(x,-y)$. For a 90° counter - clockwise rotation about origin, $(x,y)\to(-y,x)$. For a reflection over y - axis, $(x,y)\to(-x,y)$.

Step2: Analyze the pre - image and image

By observing the positions of Figure B (pre - image) and Figure C (image) on the coordinate plane, we can see that the x - coordinates of the corresponding points have opposite signs while the y - coordinates remain the same. This is the rule for a reflection over the y - axis.

Answer:

D. A reflection over the y - axis