1. Proving Triangles Congruent
jc-schools.net/PPT/geometrycongruence.ppt

2. 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.

3. Angle-Side-Angle (ASA)B E F A C D
A   D
AB  DE
 B   E
ABC   DEF
included
side
jc-schools.net/PPT/geometrycongruence.ppt

4. 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.

5. Angle-Angle-Side (AAS)B E F A C D
A   D
 B   E
BC  EF
ABC   DEF
Non-included
side
jc-schools.net/PPT/geometrycongruence.ppt

6. There is no such thing as an SSA postulate!
Warning: No SSA Postulate
There is no such thing as an SSA postulate! E B F A C D
NOT CONGRUENT
jc-schools.net/PPT/geometrycongruence.ppt

7. There is no such thing as an AAA postulate!
Warning: No AAA Postulate
There is no such thing as an AAA postulate! E B A C F D
NOT CONGRUENT
jc-schools.net/PPT/geometrycongruence.ppt

8. The Congruence Postulates
SSS correspondence
ASA correspondence
SAS correspondence
AAS correspondence
SSA correspondence
AAA correspondence
jc-schools.net/PPT/geometrycongruence.ppt

9. Name That Postulate SAS ASA SSA SSS (when possible)
jc-schools.net/PPT/geometrycongruence.ppt

10. Name That Postulate AAA ASA SSA SAS (when possible)
jc-schools.net/PPT/geometrycongruence.ppt

11. Let’s Practice B  D AC  FE A  F
Indicate the additional information needed to enable us to apply the specified congruence postulate.
For ASA:
B  D
For SAS:
AC  FE
A  F
For AAS:
jc-schools.net/PPT/geometrycongruence.ppt

12. Another
Indicate the additional information needed to enable us to apply the specified congruence postulate.
For ASA:
For SAS:
For AAS:
jc-schools.net/PPT/geometrycongruence.ppt