EXERCISE 5.7

**1) Say True or False:**

**(a) Each angle of a rectangle is a right angle.**

**(b) The opposite sides of a rectangle are equal in length.**

**(c) The diagonals of a square are perpendicular to one another.**

**(d) All the sides of rhombus are of equal length.**

**(e) All the sides of parallelogram are of equal length.**

**(f) The opposite sides of a trapezium are parallel.**

**Ans:**

(a) True, (b) True, (c) True, (d) True, (e) False, (f) False.

**2) Give reasons for the following :**

**(a) A square can be thought of as a special rectangle.**

**Ans :** A rectangle with all sides equal becomes a square.

**(b) A rectangle can be thought as special parallelogram.**

**Ans :** A parallelogram with each angle a right angle becomes a rectangle.

**(c) A square can be thought of as special rhombus.**

**Ans :** All sides of rhombus and square are equal but in case of square all interior angles are 90˚.A rhombus with each angle as right angle becomes a square.

**(d) Square, rectangle, parallelogram are all quadrilaterals.**

**Ans :** Since, all are closed figures with 4 line segments hence all are quadrilaterals.

**(e) Square is also a parallelogram.**

**Ans :** Opposite sides of a square are parallel as in a parallelogram and in addition all sides are equal in a square, hence square is also a parallelogram.

**3) A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?**

**Ans :** A square is a ‘regular’ quadrilateral.