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QUADRILATERALS

QUADRILATERALS. Types of Quadrilaterals. YASH BAGHLA & AMOGH JAIN X B K.V.Jhalawar (Raj.). Quadrilaterals. Trapezium. Parallelogram. Kite. Rectangle. Rhombus. Square. Quadilaterals. Kite. Trapezium. Parallelogram. Rectangle. Rhombus. Square. Properties of Quadrilateral.

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QUADRILATERALS

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

  2. Quadrilaterals Trapezium Parallelogram Kite Rectangle Rhombus Square

  3. Quadilaterals Kite Trapezium Parallelogram Rectangle Rhombus Square

  4. 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. • A quadrilateral in which both the pairs of opposite sides • are parallel and all the angles are right angles is called • as RECTANGLE.

  5. A quadrilateral in which both the pairs of opposite sides • are parallel and all sides are equal is called as RHOMBUS. • A quadrilateral in which both the pairs of opposite sides • 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.

  6. 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.

  7. 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.

  8. 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)

  9. 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.

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