If two angles and the included side of a triangle are equal to two angles and the included side of another triangle, the two triangles are congruent by _____ congruence condition.

ASA

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AAA

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SAS

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RHS

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Solution

The correct option is A
ASA

We know, by definition, that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the two triangles are congruent by ASA congruence condition.

$Here, in △ A B C and △ Q R P, ∠ B = ∠ R ∠ C = ∠ P B C = R P ∴ By ASA congruence condition for triangles, △ A B C ≅ △ Q R P$

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Similar questions

Two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle. This is known as the

a) RHS congruence criterion
b) ASA congruence criterion
c) SAS congruence criterion
d) AAA congruence criterion

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