Congruence of Triangles By SAS Criteria


 
 
Concept Explanation
 

Congruence of Triangles By SAS Criteria

Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles. There are five ways to test that two triangles are congruent. This is one of them (SAS).

If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

SAS-Congruence Of Triangles

In above given figure, sides AB= PQ, AC=PR and angle between AC and AB equal to angle between PR and PQ i.e. angle CAB=angle RPQ, hence bigtriangleup ABCcong bigtriangleup PQR

Sample Questions
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Question : 1

If AB = PR, BC = RQ and angle B=angle R ,  then  ---------------

Right Option : C
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Question : 2

 

In the given figure, the congruency rule used in proving Delta ACD cong Delta ADB is  _________________

Right Option : D
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Question : 3

In the above figure, AC = CE and BC = CD then bigtriangleup ACBcong bigtriangleup DCE by which criteria?

Right Option : B
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