# Creating Congruent Triangles

- Author:
- Manu Naeole

- Topic:
- Triangles

## Introduction to Activity

Every triangle is made of six parts: three sides and three angles. Proving two triangles are congruent requires only three of those six parts.
Below is a pre-made triangle: ABC.
Objective: Take any three parts of the triangle, and attempt to create a triangle with the three parts. Answer the two questions below for each combination of parts you given.

## Operating the Geogebra Workspace

1) Each point labeled A regardless of subscript corresponds to point A in ABC. The same is true for all of the Bs and Cs.
2) All the points with a subscript of 2 moves the whole segment.
3) All the points with a subscript of 3 moves the point.
4) All the segments of the angles can be extended or shortened as needed.

## 1. Creating Congruent Triangles

Using any combination of **three** parts of the triangle, answer the following questions for each combination you attempt.
1. Can you create a congruent triangle with your parts?
2. Can you create a different triangle with your parts?
List all of the combinations which you can answer yes to number 1 and no to number 2 in the space provided.

## Screen Shot

1) Take a screen shot of your answers (Shift+command+4).
2) Create a new Google Doc
3) Title Doc:

**Creating Congruent Triangles**4) Add document to Google Classroom Assignment**Introduction to Congruent Triangle**