# Lesson 11

Congruence

### 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

These two figures are congruent, with corresponding points marked.

1. Are angles $$ABC$$ and $$A'B'C'$$ congruent? Explain your reasoning.
2. Measure angles $$ABC$$ and $$A’B’C’$$ to check your answer.

### Problem 3

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

1.
2.
3.

### Problem 4

Which of these four figures are congruent to the top figure?

A:

A

B:

B

C:

C

D:

D