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CBSE Class 9 Answered

In the figure, E is the mid-point of side AD of a trapezium ABCD with AB  CD. A line through E parallel to AB meets BC in F. Show that F is the mid point of BC.
Asked by Topperlearning User | 11 Aug, 2017, 11:56: AM
answered-by-expert Expert Answer
Join AC to intersect EF at G.
EF  DC         EG  DC
E is the mid point of AD and EG  DC
G is the mid point of AC                   (By converse of mid point theorem)
In ABC, FG  AB and G is the mid point of AC
 F is the mid point of BC.
Answered by | 11 Aug, 2017, 01:56: PM

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