point of intersection of diagonals of a quadrilateral divides one of the diagonals in the ratio 11 gm .Can it be a parallelogram ? Justify.
Answers
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 = 11
But here AO/OC = 1/2.
So, the quadrilateral can't be a parallelogram in which point of intersection of the diagonals divide one diagonalin the ratio of 1 : 2.
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 = 11
But here AO/OC = 1/2.
So, the quadrilateral can't be a parallelogram in which point of intersection of the diagonals divide one diagonalin the ratio of 1 : 2.
Explanation:
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 = 11
But here AO/OC = 1/2.
So, the quadrilateral can't be a parallelogram in which point of intersection of the diagonals divide one diagonalin the ratio of 1 : 2.
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 = 11
But here AO/OC = 1/2.
So, the quadrilateral can't be a parallelogram in which point of intersection of the diagonals divide one diagonalin the ratio of 1 : 2.