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Question

State true or false:
In ABC, AD is the median and DE is parallel to BA, where E is a point in AC and hence BE is parallel to BC.

A
True
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B
False
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Solution

The correct option is B False
Given: AD is the median of ABC.
Hence, BD=DC.
Also, DEAB and DE is drawn from the mid point of BC, i.e. D.
Thus, by converse of mid-point theorem, DE bisects the third side, which is AC.
Then, E is the mid point of AC.
Hence, BE is the median of ABC.

That is, the given statement is false and option B is correct.

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