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Proving Triangles Congruent

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Presentation on theme: "Proving Triangles Congruent"— Presentation transcript:

1 Proving Triangles Congruent

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

3 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!

4 Name That Theorem (when possible) SAS ASA SSA SSS

5 Name That Theorem (when possible) AAA ASA SSA SAS

6 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

7 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

8 Find the values of a and b that yields congruent triangles

9 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

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

11 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.

12 What theorem completes this proof?

13 What theorem completes this proof?

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

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


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