Congruence of Triangles By SAS Criteria


Congruence of Triangles I - Concepts
Class - 7th Foundation NTSE Subjects
 
 
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 congruent triangles ABC and DEF, ∠A = ∠E = 40∘, and ∠F = 65∘, then ∠B =

Right Option : C
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Question : 2

In the above figure, if bigtriangleup AOBcong bigtriangleup COD ,  AO = DO and OB = OC ,then which of the following must hold?

Right Option : B
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Question : 3

In triangle ABC and PQR,  AB=PQ : : and : : angle B=angle Q. The two triangles will be congruent by SAS axiom if

Right Option : A
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