Take a cut-out of a parallelogram, say,


ABCD (Fig 3.29). Let its diagonals \overline{AC} and \overline{DB} meet at O.
Find the mid point of \overline{AC} by a fold, placing C on A. Is the
mid-point same as O?
Does this show that diagonal \overline{DB} bisects the diagonal \overline{AC} at the point O? Discuss it
with your friends. Repeat the activity to find where the mid point of \overline{DB} could lie.

Answers (1)

ABCD . Let its diagonals \overline{AC} and \overline{DB} meet at O.
The mid point of \overline{AC} is at point O.Hence, the
mid-point is same as O.

This show that diagonal \overline{DB} bisects the diagonal \overline{AC} at the point O.

The mid point of \overline{DB} is point O.

 

 

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