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: Recall reflection rules

Reflection over x - axis changes (x,y) to (x, - y). Reflection over y - axis changes (x,y) to (-x,y).

Step2: Recall rotation rules

A 90° clock - wise rotation about the origin changes (x,y) to (y, - x). A 270° clock - wise rotation about the origin changes (x,y) to (-y,x).

Step3: Analyze the transformation

If we take a point (x,y) on Figure A and check its corresponding point on Figure B. For example, if we consider a vertex of Figure A at (6,-2), its corresponding vertex on Figure B is at (6,2). The x - coordinate remains the same and the y - coordinate changes its sign. This is the rule for reflection over the x - axis.

Answer:

A. A reflection over the x - axis