Question

Diagonals AC and BD of a quadrilateral ABCD intersect at o such that OA:OC 3:2 is ABCD is a parallelogram ?why?

Answer 1

Step-by-step explanation:

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Answer 2

Given,

OA:OC = 3:2

The diagonals AC and BD of a quadrilateral intersect at O.

To find,

We have to find whether ABCD is a parallelogram or not.

Solution,

ABCD is not a parallelogram as diagonals of a parallelogram bisect each other.

We can simply find whether ABCD is a parallelogram or not by using the properties of a parallelogram.

The diagonals of a parallelogram are bisected at the point O and the ratio of OA to OC must be 1:1 which is not given in the question.

In the given question, OA:OC is 3:2, So ABCD is not a parallelogram.

Hence, ABCD is not a parallelogram as diagonals do not bisect each other.