Question

Example 8 In the adjoining figure, ABCD is a trapezium in
which AB || DC and E is mid-point of AD. A line is drawn
through E parallel to AB intersecting BC at F. Show that F
is mid-point of BC.

Answer 1

construction:

construct diagonal AC, meeting EF at G

proof:

in ΔADC,

E is the mid-point of AD and EG∥DC

so by mid-point theorem, G is the mid-point of AC

similarly in ΔAGC,

F is the mid-point of BC

hence proved

Answer 2

Answer:

Here is the answer...

Step-by-step explanation:

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