Download Triangle Congruence by SSS and SAS

Triangle Congruence
by SSS and SAS
Section 4.2
Warm Up

The 2 triangles are congruent in each
diagram. Write the triangle congruence
statement.
Proving 2 Triangles are
Congruent.



If 2 triangles are congruent, then all 3 sides
and all 3 angles are congruent. 6 total.
Proof Shortcuts – Instead of showing all 6
parts are congruent, sometimes we only need
to find 3 parts that are congruent.
SSS – If we can show that all 3 sides are
congruent, we can say the triangles are
congruent (we don’t need the angles).
SSS – (Side, Side, Side)
Given: M is the midpoint of XY, AX
Prove: AMX
AMY
AY
Proving 2 Triangles are
Congruent.



If 2 triangles are congruent, then all 3 sides
and all 3 angles are congruent. 6 total.
Proof Shortcuts – Instead of showing all 6
parts are congruent, sometimes we only need
to find 3 parts that are congruent.
SAS – If we can show that 2 sides and the
included angle are congruent, we can say the
triangles are congruent (we don’t need the
third side or the other 2 angles).
SAS – (Side, Angle, Side)
Given: RSG
Prove: RSG
RSH, SG
RSH
SH.