Proving Triangles Congruent

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Presentation transcript:

Proving Triangles Congruent

The Congruence Postulates SSS correspondence ASA correspondence SAS correspondence AAS correspondence SSA correspondence AAA correspondence

Row Game Practice! -Each row is a team -Everyone gets a white board and marker -I will check first person’s answer. If it’s correct, your team gets 7 points! -If first person’s answer is not correct, I will check everyone else’s in your row. Each correct answer is 1 point for your team. -Switch seats so everyone gets a chance to be the 1st person -Winning team gets candy!

Name That Theorem (when possible) SAS ASA SSA SSS

Name That Theorem (when possible) AAA ASA SSA SAS

SAS SAS SSA SAS Name That Theorem and the property that helps you get there (when possible) Vertical Angles Reflexive Property SAS SAS Vertical Angles Reflexive Property SSA SAS

SAS SAS AAS Name That Theorem and the property that helps you get there (when possible) Reflexive Property SAS SAS Alt. Int. Angles Theorem AAS Perpendicular Bisector

Find the values of a and b that yields congruent triangles

Quick Review! Given ABC is a triangle, find the measure of each angle. Then classify the triangle by its angles and sides. mA = 2x + 5°, mB = 3x – 15° and m C = 4x + 1o° Right Isosceles

Quick Review! Find the measure of the exterior angle. 120°

Getting into formal proofs… We will now use one of the 6 theorems to complete some formal proofs that show whether or not 2 triangles are congruent.

What theorem completes this proof?

What theorem completes this proof?

Try one on your own! What theorem completes this proof?

Homework 2 Assignments: Textbook pg. 271 #27-28, 31 Triangle Congruence Theorems WS