Quadrilateral Numerical Problems with Explained Solutions, Quadrilateral Important Properties

Quadrilateral class 9

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

All the angles of a quadrilateral are equal. What special name is given to this quadrilateral ?

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it 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 opposite sides of a quadrilateral are parallel. If one angle of the quadrilateral is 60^0, find the other angles.

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 angles of a quadrilateral are equal. Prove that the quadrialteral is rectangle.

The angles of a quadrilateral are in the ratio 3: 4: 5: 6 . Show that the quadrilateral is a trapezium.