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ABCD is a trapezium in which A B\ ||\ D...

ABCD is a trapezium in which `A B\ ||\ D C`, BD is a diagonal and E is the mid-point of AD. A line is drawn through E parallel to AB intersecting BC at F (see Fig. 8.30). Show that F is the mid-point of BC.

Text Solution

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`/_ABD`
AE=ED
EG||AB
G is midpoint
`:.`DG=GB
`/_ DBC`
DG=GB
EF||DC
...
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