Prove that the line joining the midpoints of non-parallel sides of a trapezium is parallel.

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 line joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides of trapezium and is half of their difference.

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.

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

Prove that the line joining the middle points of the two sides of a triangle is parallel to the third side.

Prove that the line segment joining the mid points of two sides of a triangle is parallel to its third side.

Prove that the line segment joining the mid- points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.