Question

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

Explanation:

Step1: Recall transformation rules

For a point $(x,y)$: reflection over y - axis gives $(-x,y)$; reflection over x - axis gives $(x, - y)$; counter - clockwise rotation of $90^{\circ}$ about origin gives $(-y,x)$; counter - clockwise rotation of $270^{\circ}$ about origin gives $(y,-x)$.

Step2: Analyze the transformation from A to B

If we take a general point on shape A and consider a counter - clockwise rotation of $270^{\circ}$ about the origin, the coordinates transform in a way that matches the position of shape B relative to shape A.

Answer:

A counterclockwise rotation of 270° about the origin