special properities of quadrilaterals

Nature of the diagonals -----------------------------Type of quadrilaterals
Diagonals are equal --------------------------------------Need not be rectangle or square
Diagonals are perpendicular ---------------------------Need not be a rhombus
Diagonals are perpendicular & equal------------------ Need not be a rhombus, rectangle or square
Diagonals bisect each other -----------------------------Parallelogram
Diagonals bisect & perpendicular----------------------- Rhombus
Diagonals bisect & equal ----------------------------------Rectangle
Diagonals bisect, perpendicular & equal ---------------Square

Name of the quadrilateral whose midpoints are joined-------------The Quadrilateral formed
Quadrilateral---------------------------------------------------------------------------- Parallelogram
Parallelogram ---------------------------------------------------------------------------Parallelogram
Trapezium ------------------------------------------------------------------------------Parallelogram
Rectangle ______________________________----------------------------------Rhombus
Rhombus ---------------------------------------------------------------------------------Rectangle
Square---------------------------------------------------------------------------------------- Square