Question

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

Explanation:

Step1: Analyze reflection over x - axis

A reflection over the x - axis changes the sign of the y - coordinates. Figure A and B do not have this relationship.

Step2: Analyze 90 - degree clockwise rotation

A 90 - degree clockwise rotation about the origin has the transformation rule $(x,y)\to(y, - x)$. This does not match the transformation from A to B.

Step3: Analyze reflection over y - axis

A reflection over the y - axis changes the sign of the x - coordinates. If we take a point $(x,y)$ in Figure A and reflect it over the y - axis to get $(-x,y)$, we can see that Figure A and B match this transformation.

Step4: Analyze 270 - degree clockwise rotation

A 270 - degree clockwise rotation about the origin has the transformation rule $(x,y)\to(-y,x)$. This does not match the transformation from A to B.

Answer:

A reflection over the y - axis