Identify and prove congruent triangles using ASA and AAS.

1. Congruent Triangles Part 2
The student is able to (I can):
• Identify and prove congruent triangles given
— Two angles and a side (Angle-Side-Angle and Angle-
Angle-Side)

2. ASA – Angle-Side-Angle
If two angles and the included side of one
triangle are congruent to two angles and
the included side of another triangle, then
the triangles are congruent.
F
L
Y
B U
G
ΔFLY ≅ ΔBUG

3. AAS – angle-angle-side
If two angles and a nonnonnonnon----includedincludedincludedincluded side of one
triangle are congruent to two angles and a
non-included correspondingcorrespondingcorrespondingcorresponding side of another
triangle, then the triangles are congruent.
The non-included sides mustmustmustmust be
corresponding in order for the triangles to
be congruent.
N
I
W
UO
Y
∆YOU ≅ ∆WIN

4. ASS – angle-side-side
(we do not cuss in geometry)
There is no ASS (or SSA) congruence
theorem.
(unless the angle is a right angle — then it
would be HL)