Question

please tell me how to do this ​

Answer 1

By converse of mid point theorem you prove midpoint in 1 triangle and again by converse of midpoint theorem you price the other triangle

Answer 2

given

ABCD is a trapezium in which AB || DC, BD is diagonal and E is the mid point of AD And a line is drawn through E parallel to AB intersecting BC at F such that EF || AB

To prove

F is the mid point of BC

PROOF

Let EF intersect BD at P

In triangle ABD we have EP||AB(SINCE,EF||AB)

And E is the midpoint of AD(given)

by converse of mid point theorem P is the midpoint of BD.

similarly in triangle BCD We have PF||DC(SINCE, EF||AB& AB||DC)

P Is the mid point of BD(already proved)

by converse of mid point theorem F is the mid point of BC.

HENCE THE PROOF