What is the ASA congruence rule of triangles, where A and S represents angle and side of triangle respectively?

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 3)
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  1. Two triangles are said to be congruent if all three sides of both the triangles are equal.
  2. Two triangles are said to be congruent if 2 angles and the included side of one triangle are equal to 2 angles and the included side of the other triangle.
  3. Two triangles are said to be congruent if 2 sides and the included angle of one triangle are equal to 2 sides and the included angle of the other triangle.
  4. Two triangles are said to be congruent if any pair of 2 angles and any 1 pair of sides of both the triangles are equal.

Answer (Detailed Solution Below)

Option 2 : Two triangles are said to be congruent if 2 angles and the included side of one triangle are equal to 2 angles and the included side of the other triangle.
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Detailed Solution

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Two triangles are said to be congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

F3 SSC Savita 8-8-23 D1

In the above-given figure, ∠ B = ∠ Q, ∠ C = ∠ R, and sides between ∠B and ∠C , ∠Q and ∠ R are equal to each other i.e. BC= QR. Hence, Δ ABC ≅ Δ PQR.

∴ The correct answer is Option 2.

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