if line AB is parallel to DC,E is the midpoint of AB and F is the midpoint of DC then - Maths - Introduction to Euclid\s Geometry

Question

if line AB is parallel to DC,E is the midpoint of AB and F is
the midpoint of DC then AE=DF, using an Euclid axiom Show that
AB=DC

Anjana · Answer

AE+BE=AB DF+CF=DC {Things which coincide with one another are
equal to one another}
AE = DF,BE=CF
AE + BE=AB,AE+BE=CF(Things which are equal to same thing are
equal to one another )
AB = CF
As its geometry there will be a lot of ways to do it so i hope
this is also right

if line AB is parallel to DC,E is the midpoint of AB and F is the midpoint of DC then AE=DF, using an Euclid axiom. Show that AB=DC