Question

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

Explanation:

Step1: Analyze rotation rules

A $90^{\circ}$ clock - wise rotation about the origin transforms $(x,y)$ to $(y, - x)$. A $270^{\circ}$ clock - wise rotation about the origin transforms $(x,y)$ to $(-y,x)$. A reflection over the y - axis transforms $(x,y)$ to $(-x,y)$ and a reflection over the x - axis transforms $(x,y)$ to $(x,-y)$.

Step2: Check key points

Let's assume a key point on Figure A, say the bottom - most point. Its coordinates are approximately $(-3,-8)$. For Figure B, the corresponding point has coordinates approximately $(-3,8)$.

Step3: Determine transformation

The transformation from $(x,y)=(-3,-8)$ to $(x,-y)=(-3,8)$ is a reflection over the x - axis.

Answer:

A reflection over the x - axis