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Proving Congruent Triangles

Author:Manu Naeole

Introduction

A triangle has six parts to its construction
  1. Three sides
  2. Three angles
The goal of this assignment
  1. Determine which combination of parts are needed to prove two triangles are congruent.

Question 1

Create all the different ways you can group any three parts of a triangle together. Order does matter in your group. Example: 1-2-3 would be different from 3-2-1. List all options below. Use sides and angles to write your groups.

Question 2

Use any of the groupings listed in question 1 to answer the following questions below: A) Which grouping of parts are you using? B) Can you create a congruent triangle with this grouping of parts? C) Can you create a different triangle with this grouping of parts?

Question 3

Use any of the groupings listed in question 1 to answer the following questions below: A) Which grouping of parts are you using? B) Can you create a congruent triangle with this grouping of parts? C) Can you create a different triangle with this grouping of parts?

Question 4

Use any of the groupings listed in question 1 to answer the following questions below: A) Which grouping of parts are you using? B) Can you create a congruent triangle with this grouping of parts? C) Can you create a different triangle with this grouping of parts?

Question 5

Use any of the groupings listed in question 1 to answer the following questions below: A) Which grouping of parts are you using? B) Can you create a congruent triangle with this grouping of parts? C) Can you create a different triangle with this grouping of parts?

Question 6

Use any of the groupings listed in question 1 to answer the following questions below: A) Which grouping of parts are you using? B) Can you create a congruent triangle with this grouping of parts? C) Can you create a different triangle with this grouping of parts?

Question 7

Use any of the groupings listed in question 1 to answer the following questions below: A) Which grouping of parts are you using? B) Can you create a congruent triangle with this grouping of parts? C) Can you create a different triangle with this grouping of parts?

Question 8

Which groupings allowed you to only create congruent triangles? List them below

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