Question

figure a to figure b? answer a reflection over the x - axis a counterclockwise rotation of 270° about the origin a counterclockwise rotation of 90° about the origin a reflection over the y - axis

Explanation:

Step1: Recall transformation rules

A reflection over the x - axis changes the sign of the y - coordinates of points. A counter - clockwise rotation of 270° about the origin is equivalent to a clockwise rotation of 90° about the origin. For a point (x,y), a counter - clockwise rotation of 270° about the origin gives (y, - x). A counter - clockwise rotation of 90° about the origin gives ( - y,x). A reflection over the y - axis changes the sign of the x - coordinates of points.

Step2: Analyze the figure

Observing Figure A and Figure B, we can see that the x - coordinates of corresponding points have opposite signs while the y - coordinates remain the same. This is the rule for a reflection over the y - axis.

Answer:

A reflection over the y - axis