1. You will need: colored pens
6.4(b) Notes: Proving Triangles Congruent–AAS and HL
Lesson Objective: Use the AAS and HL Postulates to test for triangle congruence.
CCSS: G.CO.10, G.SRT.5
You will need: colored pens
Real-World App: Is the scaffolding of a freeway sign congruent?
This is Jeopardy!!!:
This is the congruency
theorem used to prove
the following. Include
diagram with marks.  

2. Lesson 1: AAS Congruence
∆GHJ ∆KLM
Angle-Angle-Side (AAS) Con­gru­ence: If 2 angles and a non­included side of one ∆ are congruent to the cor­responding angles and non­­­in­clu­ded side of another ∆, then the ∆s are congruent.

3. Lesson 2: Using AAS to Prove Congruence Given: AB || ED, BC DC
Given: AB || ED, BC DC
Prove: ∆ABC ∆EDC using AAS.
Statement
Reason 1. 2. 3. 4.

4. Lesson 3: Congruence in Right Triangles

5. Lesson 4: Applying HL Congruence.
Given: / V and / Y are right angles, VW YX
Prove: ∆VWX ∆YXW
Statement
Reason 1. 2. 3. 4.

6. Lesson 5: Finding the Value of a Variable
Find the value of the variable that yields
.. Then find the angle measures and side lengths of JQ and MH.

7. Lesson 6: Real-Life App
Statement
Reason 1. 2. 3. 4. 5.

8. Given: ABDC is a rectangle. Prove: ∆ABC ∆DCB A B 1. Using AAS
6.4(b): Do I Get It? Yes or No
Given: ABDC is a rectangle.
Prove: ∆ABC ∆DCB A B
1. Using AAS 
2. Using HL   
C D
Statement
Reason 1. 2. 3. 4.