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

The diagonals of a quadrilateral $ABCD$ are perpendicular. Show that the quadrilateral, formed by joining the mid-points of its sides, is a rectangle.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

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

Show that the quadrialteral formed by joining the mid-points of the consecutive sides of a rhombus, is a rectangle.

The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if

The diagonals of a quadrilateral ABCD are mutually perpendicular . Prove that the quadrilateral formed by joining the mid-points of its consecutive sides is a reactangle.

The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rhombus, if

The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rectangle, if