Proof of SAS

For SAS theorem , two sides and one angle should be equal in two triangle

then two triangle called congruence,

in this triangle two sides are given .

Step 2

For SAS Theorem, Two sides and one angle should be equal in two triangles.

AB = DE (Given in figure)

BC = CE (Given in figure)

\(\displaystyle\angle{A}{C}{B}=\angle{E}{C}{D}\) [In a pair of intersecting lines the vertically opposite angles are equal]

So \(\displaystyle\triangle{A}{C}{B}\stackrel{\sim}{=}\triangle{E}{C}{D}\)