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

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

Right Option : B
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Question : 2

In the figure given above, AC = CE and BC = CD and angle ACB=angle DCE then bigtriangleup ACBcong bigtriangleup DCE by which criterion?

Right Option : A
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Question : 3

In triangles ABC and PQR three equality relations between some parts are as following:

                                    AB=QP,angle B=angle P: : and : : BC=PR

Then the triangles are congruent because of _________________ criterion.

Right Option : A
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