# G.2.4 Lesson Summary

- Author:
- Katie Akesson

This activity is the first introduction to the

*criteria*we need to show that 2 triangles are congruent. We are going to spend the next few weeks focusing on these ideas. No need to have this mastered today - just the idea that we can use 3 pieces of specific information to show 2 triangles are congruent.**Triangle Congruence Criteria**Our experiements today lead us to believe that these combinations of sides and angles will show 2 triangles are congruent: • Angle-Side-Angle (ASA) “Two angles and the

*Assertions*:*included*side.” • Angle-Angle-Side (AAS) “Two angles and the

*non included*side.” • Side-Angle-Side (SAS) “Two sides and the

*included*angle.” • Side-Side-Side (SSS) “All three sides.” • Hyptenuse-Leg (HL) "The hypotenuse and leg of a right triangle (so also a 90 degree angle)."

**Sets of information that are**Our experiments today showed us that these combinations of sides and angles will NOT show 2 triangles are congruent: • Side • Side-Angle • Side-Side-Angle (SSA) "Two sides and a

*not*valid triangle congruence criteria*non-included*angle" (the easy way to remember this one is that it

*can*make a bad word when the

*A*is not between the 2 S's, but we choose to not write it in that order to be polite!) • Angle-Angle (AA) This one makes similar triangles!