# Lesson 12

Congruent Polygons

### Problem 1

1. Show that the two pentagons are congruent.
2. Find the side lengths of $$ABCDE$$ and the angle measures of $$FGHIJ$$.

### Problem 2

For each pair of shapes, decide whether or not the two shapes are congruent. Explain your reasoning.

1.
2.
3.

### Problem 3

1. Draw segment $$PQ$$.
2. When $$PQ$$ is rotated $$180^\circ$$ around point $$R$$, the resulting segment is the same as $$PQ$$. Where could point $$R$$ be located?

### Solution

(From Unit 1, Lesson 8.)

### Problem 4

Here is trapezoid $$ABCD$$.

Using rigid transformations on the trapezoid, build a pattern. Describe some of the rigid transformations you used.