**Chapter 5 Understanding Elementary Shapes Ex. 5.7**

Question 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 a rhombus are of equal length.

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

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

Solution:

(a) True

(b) True

(c) True

(d) True

(e) False

(f) False

Question 2.

Give reasons for the following:

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

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

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

(d) Square, rectangles, parallelograms are all quadrilaterals.

(e) Square is also a parallelogram.

Solution:

(a) A square has all the properties as that of rectangle. So, it is a special rectangle.

(b) A rectangle has the same properties as that of parallelogram. So, it is a special parallelogram.

(c) A square has the same properties as that of a rhombus. So, it is a special rhombus.

(d) Square, rectangles and parallelogram are all quadrilateral as they are all enclosed by four sides.

Question 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?

Solution:

Square is only the regular quadrilateral with equal sides and equal angles.

Therefore, square is a regular quadrilateral.