# Name the quadrilaterals whose diagonals

(i) bisect each other (ii) are perpendicular bisectors of each other

(iii) are equal

**Solution:**

(i) Bisect each other: The diagonals of a parallelogram, rhombus, rectangle and square bisect each other.

Parallelogram:

Rhombus:

Rectangle:

Square:

(ii) are perpendicular bisectors of each other: The diagonals of a square and rhombus are perpendicular bisectors of each other.

Rhombus and Square

(iii) are equal: The diagonals of a rectangle and square are equal.

Rectangle and Square

**ā Check: **NCERT Solutions for Class 8 Maths Chapter 3

**Video Solution:**

## Name the quadrilaterals whose diagonals. (i) bisect each other (ii) are perpendicular bisectors of each other (iii) are equal

NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.4 Question 4

**Summary:**

The quadrilaterals whose diagonals. (i) bisect each other: parallelogram, rhombus, rectangle, and square (ii) are perpendicular bisectors of each other: square and rhombus (iii) are equal: rectangle and square

**ā Related Questions:**

- State whether True or False. (a) All rectangles are squares (b) All rhombuses are parallelograms (c) All squares are rhombuses and also rectangles (d) All squares are not parallelograms. (e) All kites are rhombuses. (f) All rhombuses are kites. (g) All parallelograms are trapeziums. (h) All squares are trapeziums.
- Identify all the quadrilaterals that have: (a) four sides of equal length (b) four right angles
- Explain how a square is. (i) a quadrilateral (ii) a parallelogram (iii) a rhombus (iv) a rectangle
- Explain why a rectangle is a convex quadrilateral.

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