# Congruence Triangle Problem with transformations

- Author:
- cebre, William Malone

- Topic:
- Congruence

## 1-3 For each of the following, find the congruent triangle, and write all congruence statements. Use ~= to show congruence.

## 1.

Triangle 7

## 2.

Triangle 4

## 3.

Triangle 10

## 4-6 Answer using your knowledge of corresponding parts of congruent figures.

## 4.

If angle D is 27 degrees, what is the name of the corresponding angle that is also 27 degrees?

## 5.

What are all of the sides with a side length of 3 units? Write them as corresponding pairs with congruence statements. Use ~= to show congruence.

## 6.

CHALLENGE: If Triangle STU is an isosceles right triangle, what is the measure of angle L? How do you know?

## 7-9 To the best of your ability, list all sequences or compositions of transformations that create the following congruent shapes.

## 7

Preimage: Triangle 5 Image: Triangle 2

## 8

Preimage: Triangle 8 Image: Triangle 1

## 9

Preimage: Triangle 10 Image: Triangle 6