Ex 3.4, 4 - Chapter 3 Class 8 Understanding Quadrilaterals

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Ex 3.4, 4Name the quadrilaterals whose diagonals.(i) bisect each otherThe diagonals of a Parallelogram bisect each other. Since Rhombus, Square and Rectangle are also Parallelogram ∴ There diagonals also bisect each other Thus, Quadrilaterals whose diagonals bisect each other are : Parallelogram Rhombus Square Rectangle Ex 3.4, 4Name the quadrilaterals whose diagonals.(ii) are perpendicular bisectors of each other The Diagonals are Perpendicular bisectors when all sides of a quadrilateral are equal. Rhombus and square are the quadrilaterals that have their sides equal. ∴ Their diagonals are perpendicular bisectors of each other. Ex 3.4, 4Name the quadrilaterals whose diagonals.(iii) are equalThe diagonals of a quadrilateral are equal if its all the angles are equal . Rectangle and square have their all angles equal. ∴ Their diagonals are equal.