Question

figure r figure s answer a translation 3 units left and 1 unit up a translation 3 units right and 1 unit down a rotation 90° counterclockwise about the origin a rotation 90° clockwise about the origin submit answer

Explanation:

Step1: Recall translation and rotation rules

Translation moves a figure. Left - subtract from x - coordinate, right - add to x - coordinate, up - add to y - coordinate, down - subtract from y - coordinate. Rotation rules about origin: 90° counter - clockwise $(x,y)\to(-y,x)$; 90° clockwise $(x,y)\to(y, - x)$.

Step2: Analyze translation options

For a translation 3 units left and 1 unit up, a point $(x,y)$ becomes $(x - 3,y + 1)$. For a translation 3 units right and 1 unit down, a point $(x,y)$ becomes $(x+3,y - 1)$. These don't match the orientation change from Figure S to Figure R.

Step3: Analyze rotation options

For a 90° counter - clockwise rotation about the origin, a point $(x,y)$ becomes $(-y,x)$. For a 90° clockwise rotation about the origin, a point $(x,y)$ becomes $(y,-x)$. By observing the orientation of Figure S and Figure R, we can see that a 90° counter - clockwise rotation about the origin changes the orientation of Figure S to Figure R.

Answer:

A rotation 90° counterclockwise about the origin