Question

lesson 4 practice problems

1. for each pair of polygons, describe a sequence of translations, rotations, and reflections that takes polygon p to polygon q.

a.
b.
c.

Explanation:

Step1: Analyze part a

First, translate Polygon P 4 units to the right and 3 units down. Then, rotate it 180 - degrees around the new - position of point B.

Step2: Analyze part b

Translate Polygon P 5 units to the right and 2 units down. Then, reflect it across the vertical line passing through the new - position of point C.

Step3: Analyze part c

First, translate Polygon P so that point A coincides with point F. Then, rotate it 90 - degrees counter - clockwise around point F.

Answer:

a. Translate 4 units right and 3 units down, then rotate 180 - degrees around the new position of point B.
b. Translate 5 units right and 2 units down, then reflect across the vertical line through the new position of point C.
c. Translate so A coincides with F, then rotate 90 - degrees counter - clockwise around F.