2. In a quadrilateral one diagonal divides the other in the ratio of 1

1.	2. In a quadrilateral one diagonal divides the other in the ratio of 1: 2 at the point of intersectionL itparallelogram? If yes, why? If not, why?
Answer» LetABCDbethequadrilateralinwhichACandBDarethediagonalsthatintersectatO.Now,AOOC=12 Weknowthatdiagonalsofaparallelogrambisecteahother. So,forABCDtobeaparallelogram,AOOC=11ButhereAOOC=12. So,thequadrilateralcan'tbeaparallelograminwhichpointofintersectionofthediagonalsdivideonediagonalintheratioof1: 2.

2. In a quadrilateral one diagonal divides the other in the ratio of 1: 2 at the point of intersectionL itparallelogram? If yes, why? If not, why?

Answer»

LetABCDbethequadrilateralinwhichACandBDarethediagonalsthatintersectatO.Now,AOOC=12

Weknowthatdiagonalsofaparallelogrambisecteahother.

So,forABCDtobeaparallelogram,AOOC=11ButhereAOOC=12.

So,thequadrilateralcan'tbeaparallelograminwhichpointofintersectionofthediagonalsdivideonediagonalintheratioof1: 2.