Question

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

Explanation:

Step1: Recall transformation rules

For a point $(x,y)$ in the coordinate - plane: A clock - wise rotation of $90^{\circ}$ about the origin transforms it to $(y, - x)$; a clock - wise rotation of $270^{\circ}$ about the origin transforms it to $(-y,x)$; a reflection over the $x$ - axis transforms it to $(x,-y)$; a reflection over the $y$ - axis transforms it to $(-x,y)$.

Step2: Analyze the position of Figure A and Figure B

The two figures are mirror images of each other across the $y$ - axis. For example, if a point on Figure A has coordinates $(x,y)$, the corresponding point on Figure B has coordinates $(-x,y)$. This is the rule for reflection over the $y$ - axis.

Answer:

A reflection over the y - axis