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

From Wikibooks, open books for an open world
< Geometry for Elementary School
Jump to: navigation, search
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(or AAS - Angle-Angle-Side , commonly used in India)

The Angle-Side-Angle congruence theorem[edit]

Given two triangles and such that their sides are equal, hence:AAS example.png

  1. The angle equals .(they have the same angle )
  2. The angle equals .(they have the same angle )
  3. The side equals .(they have the same side )

Then the triangles are congruent and their other angles and sides are equal too.