#5. describe a sequence of transformations that takes figure q to figure p.

Explanation:

Step1: Identify horizontal translation

Count the number of units Figure Q needs to move horizontally to align with Figure P's x - position. Figure Q moves 7 units to the right.

Step2: Identify vertical translation

Count the number of units Figure Q needs to move vertically to align with Figure P's y - position. Figure Q moves 1 unit down.

Step3: Identify rotation

The orientation of Figure Q needs to be changed to match Figure P. Figure Q is rotated 180° about the origin.

Answer:

First, translate Figure Q 7 units to the right and 1 unit down. Then, rotate the resulting figure 180° about the origin.