Congruence of Triangles By ASA Criteria


 
 
Concept Explanation
 

Congruence of Triangle By ASA Criteria

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

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

ASA-Congruence Of Triangles

In above given figure,angle B=angle Q,angle C=angle R and sides between angle B and angle C ,angle Q and angle R are equal to each other i.e. BC = QR, hence angle ABC=angle PQR

Sample Questions
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Question : 1

â–³ABC and â–³PQR are congruent under the correspondence ABC ↔ RQP. Write the parts of ΔABC that correspond to RP.

Right Option : A
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Question : 2

In two triangles, ABC and PQR, ∠A = 30°, ∠B = 70°, ∠P = 70°, ∠Q = 80° and AB = RP, then

Right Option : C
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Question : 3

In the following figure, If angle B=angle E,angle A=angle D  and AB = DE  then bigtriangleup ABCcong bigtriangleup DEF   by using which criterion

 

Right Option : B
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Explanation
 
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