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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)
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
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
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)

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2.7.3 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)