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

If the diagonals of a quadrilateral bisect each other at right angle, prove that the quadrilateral is a rhombus.

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

If each diagonals of a quadrilateral separates it into two triangles of equal area then show that the quadrilateral is a parallelogram.

Prove that the quadrilateral formed by joining the mid-points of the pairs of consecutive sides of a quadrilateral is a parallelogram.

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 diagonals of a quadrilateral bisect each other; then the quadrilateral is a parallelogram.

The vertices of a quadrilateral are at (-2,4) , (1,5) , (4,3) and (1,2) . Show that this quadrilateral is a parallelogram

If the diagonals of a quadrilateral bisect each other at right angle, then the quadrilateral is a parallelogram (b) rectangle (c) rhombus (d) kite

Given the following statements : A:If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. B: If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. Identify these as contrapositive or converse of each other.