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

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.

By vector method prove that the straight line joining the midpoints of two non-parallel sides of a trapezium is parallel to the parllel sides and half of their sum.

Prove that the line segment joining the mid-point of two transverse sides of a trapezium is parallel to its parallel sides.

Prove that the line segment joining the mid-points of the lateral sides of any trapezium is parallel to any of its parallel sides.

Prove that the line segment joining the middle point of 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 obtianed by joining the midpoints of two transversed sides of a trapezium is parallel to the parallel sides of the trapezium.

Prove by vector method that the line segment joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides and equal to half of their difference.

Show that the st. Line joining the mid-points of two non-parallel sides of a trapezium is parallel to the bases and is equal to half of the sum of their lengths.