2. SAS Congruence

SAS Congruence

SAS Congruence Rule( Side – Angle – Side )
The triangles are said to be congruent if the correspondence, two sides and the angle included between them of a triangle are equal to two corresponding sides and the angle included between them of another triangle.

Example :
The measurements of some parts of two triangles are given below. Check whether the two triangles are congruent or not, using SAS congruence rule. Write it in symbolic form, if the triangles are congruent.
 For ∆ ABC, AB = 7 cm, BC = 5 cm, ∠B = 50° and for ∆ DEF, DE = 5 cm, EF = 7 cm, ∠E = 50°

Solution :

Given: AB = EF = 7 cm,

BC = DE = 5 cm and

∠B =∠E = 50°

Also,

By using SAS congruence rule, it can be written as

∆ABC ≅ ∆FED

A↔F, B↔E, C↔D