Proving Triangles Congruent

Proving Triangles Congruent

Proving Triangles Congruent

jc-schools.net/PPT/geometrycongruence.ppt

Angle-Side-Angle (ASA)Angle-Side-Angle (ASA)

Postulate 8-3: If two angles and the

included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Angle-Side-Angle-Side-AngleAngle (ASA) (ASA)

1. A D

2. AB DE

3. B E

ABC DEF

B

A

C

E

D

F

included side


Angle-Angle-Side (AAS)Angle-Angle-Side (AAS)

Theorem 8-1: If two angles and the

nonincluded side of one triangle are congruent to two angles and the nonincluded side of another triangle, then the two triangles are congruent.

Angle-Angle-Side (AAS)Angle-Angle-Side (AAS)

1. A D

2. B E

3. BC EF

ABC DEF

B

A

C

E

D

F

Non-included

sidejc-schools.net/PPT/geometrycongruence.ppt

Warning:Warning: No SSA Postulate No SSA Postulate

A C

B

D

E

F

NOT CONGRUENT

There is no such thing as an SSA

postulate!


Warning:Warning: No AAA Postulate No AAA Postulate

A C

B

D

E

F

There is no such thing as an AAA

postulate!

NOT CONGRUENTjc-schools.net/PPT/geometrycongruence.ppt

The Congruence PostulatesThe Congruence Postulates

SSS correspondence

ASA correspondence

SAS correspondence

AAS correspondence

SSA correspondence

AAA correspondence


Name That PostulateName That Postulate

SASSASASAASA

SSSSSSSSASSA

(when possible)


Name That PostulateName That Postulate(when possible)

ASAASA

SASASS

AAAAAA

SSASSA


Let’s PracticeLet’s PracticeIndicate the additional information needed to enable us to apply the specified congruence postulate.

For ASA:

For SAS:

B D

For AAS: A F

AC FE


AnotherAnotherIndicate the additional information needed to enable us to apply the specified congruence postulate.

For ASA:

For SAS:

For AAS:


HomeworkWork Packet: ASA and AAS

Proving Triangles Congruent

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