Question

figure b is the result of a transformation on figure a. which transformation would accomplish this? a rotation 90° clockwise about the origin figure a is turned a quarter circle clockwise to form figure b: your answer a rotation 180° clockwise about the origin

Explanation:

Step1: Analyze rotation rules

A 90 - degree clock - wise rotation about the origin transforms a point $(x,y)$ to $(y, - x)$. A 180 - degree clock - wise rotation about the origin transforms a point $(x,y)$ to $(-x,-y)$.

Step2: Observe the figures

By observing Figure A and Figure B, we can see that each point of Figure A is rotated 90 degrees clock - wise about the origin to get Figure B.

Answer:

A rotation 90° clockwise about the origin