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

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?

Prove that diagonals of trapezium cut each other proportionally.

State, true or false : The diagonals of a trapezium divide each other into proportional segments.

If the diagonals of a quadrilateral divide each other proportionally, then prove that the quadrilateral is a trapezium.

If the diagonals of a quadrilateral divide each other proportionally,prove that it is a trapezium

If the diagonals of a quadrilateral divide each other proportionally; then it is a trapezium.

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

Prove that the diagonals of a parallelogram bisect each other.

IF the diagonals in a quadrilateral divide each other proportionally then it is…….

Prove that the two madians of a triangle divide each other in the ratio 2 : 1