Question

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 clockwise rotation of 270° about the origin a reflection over the y - axis

Explanation:

Step1: Recall reflection rules

Reflection over x - axis changes (x,y) to (x, - y). Not the case here.

Step2: Recall rotation rules

For a 90° clock - wise rotation about the origin, (x,y) becomes (y, - x). Analyzing the vertices of Figure A and Figure B, this transformation fits.

Step3: Check other rotation

For a 270° clock - wise rotation about the origin, (x,y) becomes (-y,x), which is not correct for these figures.

Step4: Recall y - axis reflection

Reflection over y - axis changes (x,y) to (-x,y). Not applicable here.

Answer:

A clockwise rotation of 90° about the origin