Question

answer a translation 2 units up a translation 2 units down a rotation 90° counterclockwise about the origin a rotation 90° clockwise about the origin

Explanation:

Step1: Recall transformation rules

A translation moves a figure without rotation or reflection. A rotation changes the orientation of a figure around a fixed - point.

Step2: Analyze vertical movement

If it were a translation 2 units up or down, the orientation of the figure would remain the same. But the orientation of Figure Q has changed to Figure R.

Step3: Analyze rotation rules

The rule for a 90 - degree counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$. By observing the vertices of Figure Q and Figure R, we can see that the transformation is a 90 - degree counter - clockwise rotation about the origin.

Answer:

A rotation 90° counterclockwise about the origin