The diagonals of a parallelogram ABCD intersect at O. A line through O

CBSE Class 9 CBSE Class 9 Maths
1

The diagonals of a parallelogram ABCD intersect at O. A line through O meets AB at X and CD at Y. Show that ar (parallelogram AXYD) = 1/2 ar (parallelogram ABCD)

2

Since, a diagonal of a parallelogram divides it into two triangles of equal area. Therefore, diagonal AC of parallelogram ABCD divides it into two triangles of equal area.
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