Question

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

Explanation:

Step1: Recall reflection rules

Reflection over x - axis changes (x,y) to (x, - y). Reflection over y - axis changes (x,y) to (-x,y). Rotation 90° counter - clockwise about origin changes (x,y) to (-y,x). Rotation 270° counter - clockwise about origin changes (x,y) to (y, - x).

Step2: Analyze figure transformation

By observing the positions of Figure A and Figure B, we note that for each point (x,y) in Figure A, the corresponding point in Figure B has coordinates (x, - y). This is the rule for reflection over the x - axis.

Answer:

A. A reflection over the x - axis