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Proving Triangles Congruent. Lesson 4-4. (AAS, HL). A. D. D. A. B. C. F. E. B. C. F. E. 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.

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proving triangles congruent
Proving Triangles CongruentLesson 4-4

(AAS, HL)

Lesson 4-4: AAS & HL Postulate

postulates

A

D

D

A

B

C

F

E

B

C

F

E

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

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

problem 1
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

Step 6: Is there more?

Given

Vertical Angle Thm

Given

AAS Postulate

Lesson 4-4: AAS & HL Postulate

problem 2
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

Step 6: Is there more?

Given

Given

Reflexive Property

HL Postulate

Lesson 4-4: AAS & HL Postulate