The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
$$ \triangle ABC \cong \triangle XYZ $$
The included angle means the angle between two sides. In other words it is the angle 'included between' two sides.Identify Side Angle Side Relationships
Side Angle Side Practice Proofs
Given: 1) point C is the midpoint of BF 2) AC= CE
Prove: $$ \triangle ABC \cong \triangle EFC $$
Side Angle Side Example Proof
Prove: $$ \triangle BCD \cong \triangle BAD $$
Given: HJ is a perpendicular bisector of KI
Side Angle Side Activity
Below is the proof that two triangles are congruent by Side Angle Side.
Can you imagine or draw on a piece of paper, two triangles, $$ \triangle BCA \cong \triangle XCY $$ , whose diagram would be consistent with the Side Angle Side proof shown below?