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Angle Side Angle Postulate

Proving Congruent Triangles With ASA

The Angle Side Angle postulate (often abbreviated as ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.
 Example of Angle Side Angle Proof  

Included Side


The included side means the side between two angles. In other words it is the side 'included between' two angles.
Identify Angle Side Angle Relationships
In which pair of triangles pictured below could you use the Angle Side Angle postulate (ASA) to prove the triangles are congruent?
 Answer 

Identify angle side angle triangles

An Angle Side Angle Proof



Prove that LMO NMO
Use the ASA postulate to prove Triangle symbolACBCongruent DCB
We can use the Angle Side Angle postulate to prove that the opposite sides and the opposite angles of a parallelogram are congruent
Given: ABCD is a parallelogram.
Remember the definition of parallelogram: a quadrilateral that thas two pairs of opposite parallel sides.

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