Question

ABCD is a trapezium in which AB is parallel to DC ,BD is a digonal and E is the midpoint of AD .A line is drawn through E Parallel to AB intersecting BC at F S T ‘f’ is the midpoint of BC
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Answer 1

Answer:

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Step-by-step explanation:

Given ABCD is a trapezium.

We have to prove, F is the mid point of BC, i.e., BF=CF

Let EF intersect DB at G.

In ΔABD E is the mid point of AD and EG∣∣AB.

∴ G will be the mid-point of DB.

Now EF∣∣AB and AB∣∣CD

∴ EF∣∣CD

∴ In ΔBCD, GF∣∣CD

⇒ F is the mid point of BC.