Question

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

Explanation:

Step1: Recall rotation and reflection rules

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

Step2: Analyze the transformation from Figure A to Figure B

If we take a point in Figure A, say a vertex $(x,y)$ and compare it to the corresponding vertex in Figure B. We can see 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 reflection over the x - axis