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In Figure, if AC = BD, then prove that AB = CD.
Introduction to Euclid Geometry
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09/07/2021 11:57 am
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In Figure, if AC = BD, then prove that AB = CD.
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09/07/2021 11:59 am
It is given, AC = BD
From the given figure, we get,
AC = AB + BC
BD = BC + CD
⇒ AB + BC = BC + CD [AC = BD, given]
We know that, according to Euclid’s axiom, when equals are subtracted from equals, remainders are also equal.
Subtracting BC from the L.H.S and R.H.S of the equation AB + BC = BC + CD, we get,
AB + BC  BC = BC + CD  BC
AB = CD
Hence Proved.
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