If one diagonal of a trapezium divides the other diagonal in the ratio 1:2, prove that one of the parallel lines is double the other.

Prove that the diagonals of a trapezium divide each other proportionally.

The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio 1:2. Can it be a parallelogram? Why or why not?

Consider the following statements : 1. The diagonals of a trapezium divide each other proportionally. 2. Any line drawn parallel to the parallel sides of a trapezium divides the non-parallel sides proportionally. Which of the above statements is/are correct?

In a trapezium, one diagonal divides the other in the ratioi 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

One of the diagonals of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal?

One of the diagonals of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal ?

If the diagonals of a quadirlateral divide each other proportionally then it is a

Prove,by vector method or otherwise,that the point of intersection of the diagonals of a trapezium lies on the line passing through the midpoint of the parallel sides (you may assume that the trapezium is not a parallelogram).

One of the diagonal of a rhombus is double the other diagonal. The area is 25 sq.cm. The sum of the diagonals is: