Question
In figure, AC = XD, C is the mid point of AB and D is the mid point of XY. Using an Euclid’s axiom, show that AB = XY.

Solution
AC = XD | Given
⇒ 2AC = 2XD
| Things which are double of the same things are equal to one another
⇒ AB = XY
| ∵ C is the mid-point of AB and D is the mid-point of XY