Question

In Fig. 1, we have $BC=XD$, is the mid-point of $XY$. Using an Euclid's axiom, show that $AB=XY$. Also write the Euclid's axiom used.

Answer 1

Given,

C is the midpoint of AB,

implies that $AB=2BC$

D is the midpoint of XY,

implies that $XY=2XD$

Since given that, $BC=XD$

implies that $AB=XY$, as $2BC=2XD$