Geometry Unit 4: Congruence Proofs
Ms. Talhami 3
What does it mean for two triangles to be congruent?
What does it mean for two triangles to be congruent?
Congruence Statement/Corresponding Parts 1. You must name the vertices of the triangle in order! The parts of the triangles are corresponding.
a b c d
e f
Proving Triangles Congruent
5 methods: 1. 3. 5. 2. 4.
Same shape and same size
GABCE ODEF
emindery
CccA Ill4BAICEB
H
ni Cc
EBDBCBD
KD
DCB
BCD
3 parts congruent parts side or angleSide Side Side Side Angle Side RightTriangle ynSSS n SAS Hypotenuse Leg
HL LegAngle Side Angle Angle Angle SideASA n AASD 7 11
SAA a
Geometry Unit 4: Congruence Proofs
Ms. Talhami 4
Examples of the 5 Methods Used to Prove Triangles Congruent
Hidden Congruent Parts - Vertical Angles
Theorem: Intersecting Lines form Congruent Vertical Angles
Hidden Congruent Parts - Reflexive Property Property: Reflexive (Shared Sides/Shared Angles are congruent).
SSS SAS HL
AAS
ASA
xi AAS C
SAS
a a e
a
Ai QHL