If the mid-points of the sides of a quadrilateral are joined in order, prove that the area of the parallelogram, so formed will be half of the area of the given quadrilateral (figure).

If the mid-point of the sides of a quadrilateral are joined in order, prove that the area of the parallelogram so formed will be half of the area of the given quadrilateral.

If the opposite sides of a quadrilateral are equal, prove that the quadrilateral is a parallelogram.

Prove that the quadrilateral formed by joining the mid-points successively of any quadrilateral is also a parallelogram. Also, prove that the perimeter of that parallelogram is equal to the sum of that quadrilateral's diagonals.

What is the name of the quadrilateral formed by joining the midpoint of sides of a given quadrilateral ?

If the mid points of consecutive of a quadrilateral connected by straight lines prove that the resulting quadrilateral is a parallelogram.

If the mid points of consecutive of a quadrilateral connected by straight lines prove that the resulting quadrilateral is a parallelogram.