Q1 of 109 Page 314

In the adjoining figure, is a trapezium in which and is the midpoint of A line segment meets at Show that is the midpoint of


Here, ABCD is trapezium.


Join BD to cut EF at O.


It is given that, in ∆DAB, E is the mid point of AD and EO || AB.


∴ O is the midpoint of BD …By converse of mid point theorem


Now in ∆BDC, O is the mid point of BD and OF || DC.
∴ F is the midpoint of BC … By converse of mid point theorem


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