Examples: 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 segment joining the mid points of two sides of a triangle is parallel to its third side.

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.

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 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.

The line joining the mid points of the diagonals of a trapezium is parallel to each of the parallel sides and equal to half of their difference

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

The line segment joining the mid-points of any two sides of a triangle in parallel to the third side and equal to half of it.

Show that the line segment which joins the midpooints of the oblique sides of a trapesium is parallel to the sides.

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