Geo.3.30.15.sec.8.1.notebook March 30, 2015

XYZ = QRSX

Y

Z S

R

Q

Name all the corresponding

congruent parts.

Note: To prove that two triangles are congruent, you must show that the 3 sets of angles are congruent AND that the 3 sets of sides are congruent!! That's a total of 6 sets of congruent parts.

8.12   Proving Triangles Congruent :                SSS, SAS, ASA, AAS

Objective: Prove two triangles are congruent using the SSS, SAS, ASA, AAS postulates.

Geo.3.30.15.sec.8.1.notebook March 30, 2015

An included angle is an angle formed by two adjacent sides of a polygon.

∠B is the included angle between sides AB and BC.

Geo.3.30.15.sec.8.1.notebook March 30, 2015

Remember:

Geo.3.30.15.sec.8.1.notebook March 30, 2015

An included side is the common side of two consecutive angles in a polygon.  The following postulate uses the idea of an 

included side.

8-1

Geo.3.30.15.sec.8.1.notebook March 30, 2015

8-2

Geo.3.30.15.sec.8.1.notebook March 30, 2015

Do you have enough information to prove the triangles

congruent? If so, write the congruence statement and give the postulate.

What additional piece of information is needed to prove that these two triangles are congruent by the given postulate?

Geo.3.30.15.sec.8.1.notebook March 30, 2015

HW # 87 Triangle Congruency Worksheet SSS, SAS

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