Question

Please slove the above question

Answer 1

Given:
AB=CD.


Add BC to both sides :
AB+BC=CD+BC
AC=BD
Hence proved.

Answer 2

$\underline{\bold{Given:-}}$

AB = CD. ......(1)

Using diagram,

AC = AB + BC

BD = BC + CD


$\underline{\bold{To\: prove:-}}$

AC = BD

$\underline{\bold{Proof:-}}$

Using Euclid Axiom ,i.e.,

The things coincide with one another are equal to one another.

BC = BC ......(2)

adding eq (1) and (2)

AB + BC = CD + BC

$\boxed{AC = BD}$

Hence proved.

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