Question

answer a reflection over the x - axis a clockwise rotation of 90° about the origin a clockwise rotation of 270° about the origin a reflection over the y - axis

Explanation:

Step1: Recall transformation rules

For a point $(x,y)$: reflection over x - axis gives $(x, - y)$; clock - wise rotation of 90° about origin gives $(y,-x)$; clock - wise rotation of 270° about origin gives $(-y,x)$; reflection over y - axis gives $(-x,y)$.

Step2: Analyze the transformation

If we take a general point on shape A and see its corresponding point on shape B, we can observe that the transformation from A to B is a clock - wise rotation of 90° about the origin. For example, if we consider a vertex of A say $(x,y)$ and its corresponding vertex on B is $(y, - x)$.

Answer:

A clockwise rotation of 90° about the origin