Question

ABCD is a trapezium in which AB//DC , BD is a diagonal & E is the mid point of AD .A line is drawn through E parallel to AB intersecting BC at F.Show that F is the mid point of BC.​

Answer 1

ABCD is a trapezium in which AB || DC, BD is a

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 Show:

F is the mid-point of BC.

Proof:

Let EF intersected BD at G.

In ΔABD,

E is the mid point of AD and also EG || AB.

we get, G is the mid point of BD

(by Converse of mid-point theorem)

Similarly,

In ΔBDC,

G is the mid point of BD and GF || AB || DC.

Thus, F is the mid point of BC

 (by Converse of mid point theorem)

Answer 2

Answer:

Here is the answer

Step-by-step explanation:

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