Prove that a line joining the midpoints of any two sides of a triangle is parallel to the third side. (Using converse of basic proportionality theorem)

Prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side (Using basic proportionality theorem).

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

Using vectors , prove that the line joining the midpoints of two sides of a triangle, is parallel to the base and half its length.

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

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-points of the lateral sides of any trapezium is parallel to any of its parallel sides.

With the help of Thales' theorem prove that the line drawn through mid-point of one side of a triangle parallel to another side bisects the third side.

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