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 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.

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

Draw a trapezium and state the pair of parallel side

Base each of the two parallel sides of a trapezium is called a base of the trapezium.

Examples: Prove that the segment joining the middle points of two non parallel sides od a trapezim is parallel to the parallel sides and half of their sum.