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Theorems

ABCD is a squ...

Question

ABCD is a square, X and Y are the points on sides AD and BC respectively such that AY = BX, then

AX ≠ BY

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AX > BY

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AX < BY

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AX = BY

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Solution

The correct option is D
AX = BY

In triangles BAY and ABX,

BX = AY, AB = BA,

DAB = ∠DAB = ∠CBA (right angles).

By RHS criterion

ΔBAY ≅ ΔABX

By c.p.c.t AX =BY

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