Any line parallel to the parallel sides of a trapezium divides the non-parallel sides 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 by using the principle of similar triangles that: the line segment drawn parallel to the side of a triangle divides the other sides proportionally.

The straight line parallel to the parallel sides of a trapezium divides _______ other two sides.

Prove that line segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides.

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

If two non-parallel sides of a trapezium are equal; it is cyclic.