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Question

In Fig X and Y are two points on equal sides AB and AC of a ΔABC such that AX=XY. Prove that XC = YB.

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Solution

In ΔAXC and ΔAYB, we have
AX=AY [Given]
A=A [Common angle]
AC = AB [Given]
So, by SAS criterion of congruence
ΔAXC ΔAYB
XC=YB (c.p.c.t.)

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