Question

the point of intersection of the diagonals of a quadrilateral divides one diagonals is the ratio 1:2 , is it a parallelogram ? give reasons in support of your answer.​

Answer 1

Answer:

Let ABCD be the quadrilateral in which AC and BD are the diagonals that intersect at O.

Now,

AO /OC =1 /2

We know that diagonals of a parallelogram bisect eah other.

So, for ABCD to be a parallelogram,

AO /OC= 1 / 1

But here

AO /OC= 1 /2

So, the quadrilateral can 't be a parallelogram in which point of intersection of the diagonals divide one diagonal in the ratio of 1 : 2.