Question

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

Explanation:

Step1: Recall rotation rules

A clock - wise rotation of 90° about the origin changes a point (x,y) to (y, - x). A clock - wise rotation of 270° about the origin changes a point (x,y) to (-y,x). A reflection over the y - axis changes (x,y) to (-x,y) and a reflection over the x - axis changes (x,y) to (x, - y).

Step2: Analyze the transformation visually

By observing the positions of Figure A and Figure B, we can see that the orientation of the figure has changed in a way that is consistent with a rotation. If we consider a general point on Figure A and its corresponding point on Figure B, we find that a clockwise rotation of 270° about the origin maps Figure A to Figure B.

Answer:

A. A clockwise rotation of 270° about the origin