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Proving Triangles Congruent. The Congruence Postulates SSS correspondence ASA correspondence SAS...

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Proving Triangles Congruent
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Page 1: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

Proving Triangles Congruent

Proving Triangles Congruent

Page 2: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

The Congruence PostulatesThe Congruence Postulates

SSS correspondence

ASA correspondence

SAS correspondence

AAS correspondence

SSA correspondence

AAA correspondence

Page 3: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA 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!

Page 4: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

Name That TheoremName That Theorem

SASSASASAASA

SSSSSSSSASSA

(when possible)

Page 5: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

Name That TheoremName That Theorem(when possible)

ASAASA

SASASS

AAAAAA

SSASSA

Page 6: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

(when possible)

SASASS

SASSAS

SASASS

Reflexive Property

Vertical Angles

Vertical Angles

Reflexive Property SSSS

AA

Name That Theorem Name That Theorem andand the property that the property thathelps you get therehelps you get there

Page 7: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

Name That Theorem Name That Theorem andand the property that the property thathelps you get therehelps you get there (when possible)

Perpendicular Bisector

SASASS

Alt. Int. Angles Theorem

SASASS

AASAAS

Reflexive Property

Page 8: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

Find the values of a and b that yields congruent

triangles

a = 6 b = 15

Page 9: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

Quick Review!Quick Review!

Given ABC is a triangle, find the measure of each angle. Then classify the triangle by its angles and sides.mA = 2x + 5°, mB = 3x – 15° and m C = 4x + 1o°Right

Isosceles

Page 10: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

Quick Review!

Find the measure of the exterior angle.

120°

Page 11: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

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.

Page 12: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

What theorem completes this proof?

Page 13: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

What theorem completes this proof?

Page 14: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

Try one on your own! What theorem completes this

proof?

Page 15: Proving Triangles Congruent. The Congruence Postulates  SSS correspondence  ASA correspondence  SAS correspondence  AAS correspondence  SSA correspondence.

Homework

2 Assignments:

Textbookpg. 271 #27-28, 31

Triangle Congruence Theorems WS


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