Show that the line segments joining the midpoints of the opposite sides of a quadrilateral and bisect each other.

Show that the straight lines joining the mid - points of the opposite sides of a quadrilateral bisect each other .

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 mid-point of two transverse sides of a trapezium is parallel to its parallel sides.

Using vector method show that the line joining the middle points of two sides of a triangle is parallel and half of the third side.

Prove that the area of the parallelogram produced by joining the mid-points of the sides of a quadrilateral taken in order is half the area of the quadrilateral.

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 straight line joining the mid - points of two sides of a triangle is equal to half the third side .

Prove that the quadrilateral formed by joining the mid-points of the sides of a square is also a square.

A B C D is a quadrilateral. E is the point of intersection of the line joining the midpoints of the opposite sides. If O is any point and vec O A+ vec O B+ vec O C+ vec O D=x vec O E ,t h e nx is equal to a. 3 b. 9 c. 7 d. 4

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.