# Lesson 16

Triangles with 3 Common Measures

### Problem 1

Are these two triangles identical? Explain how you know.

### Problem 2

Are these triangles identical? Explain your reasoning.

### Problem 3

Tyler claims that if two triangles each have a side length of 11 units and a side length of 8 units, and also an angle measuring $$100^\circ$$, they must be identical to each other. Do you agree? Explain your reasoning.

### Problem 4

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 7.)

### Problem 5

Here is trapezoid $$ABCD$$.

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