Types of Quadrilaterals YASH BAGHLA & AMOGH JAIN X B K.V.Jhalawar (Raj.)

Quadrilaterals Trapezium Kite Parallelogram Rectangle Rhombus Square

Quadilaterals Kite Trapezium Parallelogram Rectangle Rhombus Square

Properties of Quadrilateral A closed figure consists of four sides ,four angles, four vertices and two diagonals. The sum of all the four angles of a quadrilateral is 360 degrees. A quadrilateral in which one pair of opposite sides are parallel is called as TRAPEZIUM. A quadrilateral in which both the pairs of opposite sides are parallel is called as PARALLELOGRAM. are parallel and all the angles are right angles is called as RECTANGLE.

A quadrilateral in which both the pairs of opposite sides are parallel and all sides are equal is called as RHOMBUS. are parallel and all sides are equal and all angles are right angle is called as SQUARE. A quadrilateral in which two adjacent sides are equal is called KITE.

CONCLUSION A parallelogram is a trapezium. A rectangle is a parallelogram as well as a trapezium. A rhombus is a parallelogram as well as a trapezium. A square has the properties of rectangle, rhombus, parallelogram as well as a trapezium.

Properties of A Parallelogram Opposite sides are equal . Opposite angles are equal. A Diagonal of parallelogram divides it into two congruent triangles. Diagonals bisect each other.

Example Based upon angle sum property :- Q. :A angles of a quadrilateral are in the ratio 1:2:3:4. Find all the angles of the quadrilateral. Sol. : Let the angles of quadrilateral be x,2x,3x,4x. so, x +2x + 3x + 4x = 360 (By angle sum property of quadrilateral)

Therefore, 10x = 360 or, x =360 / 10 x = 36 degrees. Hence the angles of quadrilateral are x = 36 degrees 2x =72 degrees 3x =108 degrees 2x = 144 degrees.