proving triangles congruent
DESCRIPTION
Proving Triangles Congruent. jc-schools.net/ PPT / geometry congruence. ppt. 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. - PowerPoint PPT PresentationTRANSCRIPT
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
jc-schools.net/PPT/geometrycongruence.ppt
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!
jc-schools.net/PPT/geometrycongruence.ppt
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
jc-schools.net/PPT/geometrycongruence.ppt
Name That PostulateName That Postulate
SASSASASAASA
SSSSSSSSASSA
(when possible)
jc-schools.net/PPT/geometrycongruence.ppt
Name That PostulateName That Postulate(when possible)
ASAASA
SASASS
AAAAAA
SSASSA
jc-schools.net/PPT/geometrycongruence.ppt
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
jc-schools.net/PPT/geometrycongruence.ppt
AnotherAnotherIndicate 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
HomeworkWork Packet: ASA and AAS