# Ex.3.4 Q3 Understanding Quadrilaterals Solution - NCERT Maths Class 8

## Question

Explain how a square is.

(i) a quadrilateral

(ii) a parallelogram

(iii) a rhombus

(iv) a rectangle

## Text Solution

**Steps:**

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

(ii) |
Parallelogram- properties (1) Opposite sides are equal. (2) Opposite angles are equal. (3) Diagonals bisect one another. |
A square is parallelogram, since it contains both pairs of opposite sides equal. |

(iii) |
Rhombus - properties i)A parallelogram with sides of equal length. ii)The diagonals of a rhombus are perpendicular bisectors of one another. |
A square is a rhombus since i) its four sides are of same length. ii)the diagonals of a square are perpendicular bisectors of each other. |

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

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