1. Proving Triangles Congruent
Lesson 4-4
Proving Triangles Congruent
(AAS, HL)
Lesson 4-4: AAS & HL Postulate

2. Lesson 4-4: AAS & HL Postulate
Postulates
If two angles and a non included side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the two triangles are congruent.
AAS A B C D E F A B C D E F
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent. HL
Lesson 4-4: AAS & HL Postulate

3. Lesson 4-4: AAS & HL Postulate
Problem 1 
Step 1: Mark the Given
Step 2: Mark vertical angles
AAS
Step 3: Choose a Method (SSS /SAS/ASA/AAS/ HL )
Step 4: List the Parts in the order of the method
Step 5: Fill in the reasons
Statements
Reasons
Step 6: Is there more?
Given
Vertical Angle Thm
Given
AAS Postulate
Lesson 4-4: AAS & HL Postulate

4. Lesson 4-4: AAS & HL Postulate
Problem 2 
Step 1: Mark the Given
Step 2: Mark reflexive sides HL
Step 3: Choose a Method (SSS /SAS/ASA/AAS/ HL )
Step 4: List the Parts in the order of the method
Step 5: Fill in the reasons
Statements
Reasons
Step 6: Is there more?
Given
Given
Reflexive Property
HL Postulate
Lesson 4-4: AAS & HL Postulate