Question

X and Y are two points on equal sides AB and AC of the triangle ABC such that AX = BY then the three conditions for ∆AXC ≅ ∆AYB are

• A. CX = BY, ∠AXY = ∠AYX, AX = AY
• B. AX = BY, ∠ACB = ∠ABC, BC = BC
• C. AB = AC, AX = AY, BC = BC
• D. AX = AY, ∠A = ∠A, AC = AB

Answer 1

The correct option is D

AX = AY, ∠A = ∠A, AC = AB

The triangles are congruent by SAS condition of congruency.

Hence, AX = AY, ∠A = ∠A, AC = AB