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

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 : 2

If large DeltaABC is congruent to large DeltaDEF and ∠ B =∠ E , ∠ C =∠ F , then _________________________

Right Option : B
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Question : 3

In triangles ABC and PQR, if angle A=angle R,angle B=angle P: : and : : AB=RP, then which one of the following congruence conditions applies :

Right Option : B
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Explanation
 
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