Question

which transformation would take figure a to figure b? answer a counterclockwise rotation of 270 about the origin a reflection over the line y = -x a reflection over the line y = x a counterclockwise rotation of 180 about the origin

Explanation:

Step1: Recall rotation rules

A counter - clockwise rotation of 270° about the origin $(x,y)\to(y, - x)$.

Step2: Recall reflection rules

Reflection over $y=-x$: $(x,y)\to(-y,-x)$; reflection over $y = x$: $(x,y)\to(y,x)$; counter - clockwise rotation of 180° about the origin: $(x,y)\to(-x,-y)$.

Step3: Analyze the transformation

By observing the orientation and position of Figure A and Figure B, a counter - clockwise rotation of 270° about the origin will map Figure A to Figure B.

Answer:

A. A counterclockwise rotation of 270° about the origin