Question

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

Explanation:

Step1: Recall transformation rules

For a point $(x,y)$ in the coordinate - plane, a counter - clockwise rotation of $90^{\circ}$ about the origin gives the point $(-y,x)$; a reflection over the $y$ - axis gives the point $(-x,y)$; a counter - clockwise rotation of $270^{\circ}$ about the origin gives the point $(y, - x)$; a reflection over the $x$ - axis gives the point $(x,-y)$.

Step2: Analyze Figure A and Figure B

The $x$ - coordinates of the corresponding points in Figure A and Figure B are opposite in sign, while the $y$ - coordinates remain the same.

Answer:

A reflection over the y - axis