Question

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

Explanation:

Step1: Recall transformation rules

A reflection over the y - axis changes the sign of the x - coordinate of each point: $(x,y)\to(-x,y)$. A reflection over the x - axis changes the sign of the y - coordinate of each point: $(x,y)\to(x, - y)$. A clock - wise rotation of 90 degrees about the origin has the transformation rule $(x,y)\to(y,-x)$ and a clock - wise rotation of 270 degrees about the origin has the transformation rule $(x,y)\to(-y,x)$.

Step2: Analyze the orientation of Figure A and Figure B

By observing the orientation of Figure A and Figure B, we can see that if we consider a point $(x,y)$ on Figure A, the corresponding point on Figure B has coordinates $(-x,y)$. This is the rule for a reflection over the y - axis.

Answer:

A reflection over the y - axis