Question

which transformation would take figure a to figure b? answer a counterclockwise rotation of 90 about the origin a counterclockwise rotation of 270 about the origin a reflection over the y - axis a reflection over the x - axis

Explanation:

Step1: Recall transformation rules

For a point $(x,y)$ rotated counter - clockwise 90° about the origin, the new point is $(-y,x)$; for 270° counter - clockwise rotation about the origin, the new point is $(y, - x)$; reflection over y - axis gives $(-x,y)$ and over x - axis gives $(x,-y)$.

Step2: Analyze the orientation of figures

Figure A and Figure B are mirror images of each other across the y - axis. Points on Figure A have their x - coordinates negated to get corresponding points on Figure B while y - coordinates remain the same.

Answer:

A reflection over the y - axis