Proving Congruent Triangles
Introduction
A triangle has six parts to its construction
- Three sides
- Three angles
- 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