There are 5 ways to prove triangles congruent.

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Proving Triangles Congruent

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Presentation transcript:

There are 5 ways to prove triangles congruent.

Side-Side-Side (SSS) Congruence Postulate All Three sides in one triangle are congruent to all three sides in the other triangle

Side-Angle-Side (SAS) Congruence Postulate Two sides and the INCLUDED angle (the angle is in between the 2 marked sides)

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

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

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

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

2 markings you can add if they aren’t marked already

Reason: reflexive property Share a side Reason: reflexive property Vertical Angles Reason: Vertical Angles are congruent

White Board Practice

SSS, SAS, ASA, AAS, HL, or not congruent. Ex 1 SSS, SAS, ASA, AAS, HL, or not congruent. SSS

SSS, SAS, ASA, AAS, HL, or not congruent. Ex 2 I AAS

SSS, SAS, ASA, AAS, HL, or not congruent. Ex 3 SSS, SAS, ASA, AAS, HL, or not congruent. Not congruent.

SSS, SAS, ASA, AAS, HL, or not congruent. Ex 4 SSS, SAS, ASA, AAS, HL, or not congruent. SAS

SSS, SAS, ASA, AAS, HL, or not congruent. Ex 5 ASA

SSS, SAS, ASA, AAS, HL, or not congruent. Ex 6 SSS, SAS, ASA, AAS, HL, or not congruent. SSS

SSS, SAS, ASA, AAS, HL, or not congruent. Ex 7 Not congruent

SSS, SAS, ASA, AAS, HL, or not congruent. Ex 8 SAS

SSS, SAS, ASA, AAS, HL, or not congruent. Ex 9 SSS, SAS, ASA, AAS, HL, or not congruent. AAS

SSS, SAS, ASA, AAS, HL, or not congruent. Ex 10 SSS, SAS, ASA, AAS, HL, or not congruent. HL

HW: Practice Worksheet Both Sides