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As C is mid point of AB
it means AC = CB
Now As D is a mid point of XY
it means DY = XD
Also it is given that AC = XD
Now,
If AC = XD that means CB = XD (as AC = CB)
also XD = DY it means DY = AC
AC = CB = XD = DY
so we can write 2AC = 2XD
we can write,
AC+ AC = XD + XD
AC + CB = XD + DY (as AC = CB and XD = DY)
Hence AB = XY
PROVED
I hope you understood
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