If the parallel sides of a trapezium are 8 cm. and 4 cm.,

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If the parallel sides of a trapezium are 8 cm. and 4 cm., M and N are the mid-points of the diagonals of the trapezium, then length of MN is

1. 12 cm.
2. 6 cm.
3. 1 cm.
4. 2 cm.

Correct Option: D

As per the given in question , we draw a figure cyclic trapezium ABCD in which M and N are the mid-points of the diagonals ,

The line segment joining the mid– points of the diagonals of a trapezium is parallel to each of parallel sides and is equal to half the difference of these sides.
Here , AB = 8 cm. and CD = 4 cm

∴ MN =	1	(AB - CD)
	2

MN =	1	(8 - 4) cm. = 2 cm.
	2