1. Date: Topic: Proofs of Triangle Congruence (6.3)
Warm-up:
List the angles from smallest to biggest
Can you make a triangle with sides 5 feet, 3 feet, and 2 feet? Why or why not?
The sum of the smallest two sides must be greater than the largest side: = is not greater than 5
You cannot make a triangle with sides 5 feet, 3 feet, and 2 feet.

2. Proofs of Triangle Congruence
In order to prove things we need evidence. We can use rules or theorems we already know to help us prove congruence.
Example:
Given:
Prove: 1.
are Given 2.
because vertical angles are congruent 3.
by Angle Side Angle (ASA)

3. R S K T Given: Prove: 1. Given 2. because shared sides are congruent3.
by Side Side Side (SSS) 4.
because congruent triangles have all six pairs of congruent sides and angles.

4. Given:
Prove: 1.
Given 2.
perpendicular lines form 90° angles 3.
both angles measure 90 degrees 4.
angle bisector creates two equal angles 5.
shared sides are equal 6.
by Angle Side Angle (ASA)