AAS Postulate

Postulates are very useful to us in the world of math, and these "rules" can help us solve all kinds of problems with greater ease. One example of a particularly handy postulate is the AAS postulate.

The AAS postulate defined

"AAS" stands for "angle-angle-side." The AAS postulate states that:

• If the two angles and a non-included side of a triangle are congruent to two angles and the corresponding non-included side of another triangle, then these two triangles must be congruent.

Congruent essentially means the figures can be superimposed on top of each other up to translation and rotation, and we use the symbol "≅" to represent this property.

A non-included side is a side that is not between each angle. "Corresponding" non-included side means that both of these non-included sides must be in the same relative position.

Visualizing the AAS postulate

It helps to visualize the AAS postulate:


In this figure

, , and .

These two triangles meet the requirements of the AAS postulate, and they are congruent.

Topics related to the AAS Postulate

Congruent Triangles

Triangle Proportionality Theorem

Triangles

Flashcards covering the AAS Postulate

Advanced Geometry Flashcards

Common Core: High School - Geometry Flashcards

Practice tests covering the AAS Postulate

Common Core: High School - Geometry Diagnostic Tests

Advanced Geometry Diagnostic Tests

Hotmath can help with the AAS postulate

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