Question

E is the midpoint of the side AD of the trapezium ABCD with AB||DC.a line through E drawn parallel to AB intersect BC at F.show that F is the midpoint of BC.

Answer 1

Hey,
In trapezium ABCD,
E is the mid point of AD
AB//EF
Therefore,
F is also the mid point of BC. (converse of mid point theorem which states that if a line passes through the mid point of any one side of a triangle then it's parallel to the other side and bisects the third side).
Hope this helps you!!

Answer 2

ANSWER:-

In trapezium ABCD ,

E is the mid - point of AD .

AB || EF .

Therefore,

F is the also the mid - point of BC.(converse of mid - point theorem which states that if a line passes through the mid - point of any one side of a triangle then it's parallel to the other side and bisects the third side ).

Hope this helps you !!!

Thank u!