# Explain how a square is (i) a quadrilateral

(ii) a parallelogram (iii) a rhombus (iv) a rectangle

**Solution:**

Steps:

(i) | Quadrilateral | A square is a quadrilateral since it has four sides. |

(ii) |
Parallelogram properties- (i) Opposite sides are equal. |
A square is a parallelogram since it contains both pairs of opposite sides which are equal, opposite angles are equal and its diagonals bisect each other. |

(iii) |
Rhombus properties- i) A rhombus is a parallelogram with all sides of equal length. |
A square is a rhombus since i) All four sides are of the same length. |

(iv) |
Rectangle properties- Being a parallelogram, the rectangle has opposite sides of equal length and its diagonals bisect each other and opposite angles are 90 degrees each. |
A square is a rectangle since each interior angle measures 90 degrees, opposite sides are of equal length and its diagonals bisect each other. |

**Video Solution:**

## Explain how a square is. (i) a quadrilateral (ii) a parallelogram (iii) a rhombus (iv) a rectangle

### NCERT Solutions for Class 8 Maths - Chapter 3 Exercise 3.4 Question 3

**Summary:**

A square is (i) a quadrilateral as it has four sides. (ii) a parallelogram as it contains both pairs of opposite sides which are equal. (iii) a rhombus as its four sides are of the same length and the diagonals of a square are perpendicular bisectors of each other. (iv) a rectangle as each interior angle measures 90 degrees and opposite sides are of equal length and its diagonals bisect each other.