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# Angle-Angle-Side (AAS) Congruence Postulate

A. A. A. A. S. S. Angle-Angle-Side (AAS) Congruence Postulate. Two Angles and One Side that is NOT included. Angle-Side-Angle (ASA) Congruence Postulate. A. A. S. S. A. A. Two angles and the INCLUDED side (the side is in between the 2 marked angles).

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## Angle-Angle-Side (AAS) Congruence Postulate

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1. A A A A S S Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included

2. Angle-Side-Angle (ASA) Congruence Postulate A A S S A A Two angles and the INCLUDED side (the side is in between the 2 marked angles)

3. There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg HL

4. CPCTC FlashCard** Corresponding Parts of Congruent Triangles are Congruent

5. Therefore the two triangles are congruent by SAS. By CPCTC, the third side pair is congruent, so AB = 18 mi. Example 1: Engineering Application A and B are on the edges of a ravine. What is AB? One angle pair is congruent, because they are vertical angles. Two pairs of sides are congruent, because their lengths are equal.

6. SSS SAS ASA AAS HL NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent

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