Question

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

Explanation:

Step1: Recall rotation rules

For a 90 - degree counter - clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(-y,x)$.

Step2: Check key points

Take a key point on Figure A, say a vertex. Apply the 90 - degree counter - clockwise rotation rule and see if it maps to the corresponding vertex on Figure B. After checking multiple key points, we find that a 90 - degree counter - clockwise rotation about the origin maps Figure A to Figure B.

Answer:

A counterclockwise rotation of 90° about the origin