# Geometry for Elementary School/The Side-Angle-Angle congruence theorem

 Geometry for Elementary School The Angle-Side-Angle congruence theorem The Side-Angle-Angle congruence theorem The Right angle-Hypotenuse-Side congruence theorem

In this chapter, we will discuss yet another congruence theorem, the Side-Angle-Angle congruence theorem, usually abbreviated as SAA.

## The Angle-Side-Angle congruence theorem

Given two triangles $\triangle ABC$ and $\triangle DEF$ such that their sides are equal, hence:

1. The angle $\angle BAC$ equals $\angle EDF$.
2. The angle $\angle ABC$ equals $\angle DEF$.
3. The side $\overline {BC}$ equals $\overline {EF}$.

Then the triangles are congruent and their other angles and sides are equal too. Note that the side must be the included side of the two angles.