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Wednesday, September 18 th. Warm Up. ∆ <g = ____________ JG=_____________. Important. Next Quiz: Friday 9/20 PROOFS. The 5 Triangle Congruence's *You must have these memorized by Friday! . Side-Side-Side (SSS) Congruence Postulate.
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Wednesday, September 18th Warm Up ∆ <g = ____________ JG=_____________
Important Next Quiz: Friday 9/20 PROOFS
The 5 Triangle Congruence's*You must have these memorized by Friday!
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)
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)
There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg HL
SSS SAS ASA AAS HL NO BAD WORDS The ONLY Ways To Prove Triangles Are Congruent
Share a side Reason: reflexive property Vertical Angles Reason: Vertical Angles are congruent
Extra Practice 1-12 Congruent Triangles *Remember to draw in vertical angles and shared sides
Today’s Goal Triangle Proofs
Key Tips • First statement is always GIVEN. • Other statements may also be GIVEN • Last statement should be what you are trying to prove and be using one of our 5 triangle congruences (SSS, ASA, Etc.) • Draw in your dashes and angles • Try to remember all the rules/theorems/postulates we have covered since the beginning of the year!