Question

The points of intersection of the diagonals of a quadrilateral divides one diagonal in the ratio 2 : 3.it is a parallelogram why or why not?

Answer 1

it's not a parallelogram because diagonals always bisects the other in equal portions

Answer 2

No, the quadrilateral is not a parallelogram.

• The parallelogram is a type of quadrilateral, which has certain geometrical properties which are unchangeable. With the absence or presence of these properties we can figure out that the quadrilateral is a parallelogram or not.
• Similarly, the two diagonals of a parallelogram bisects each other at equal proportions (1:1).
• But, the diagonals of the given quadrilateral, divides one diagonal in the ratio of 2:3.
• So, it's a violation of the geometrical characteristics. And, that's why we cannot consider the given quadrilateral as a parallelogram.