NCERT Solutions Class 6th Maths Chapter – 5 Understanding Elementary Shapes Exercise – 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, and parallelograms are all quadrilaterals.

(e) Square is also a parallelogram.

Solution –

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

(b) A rectangle has the same properties as that of a 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 parallelograms are all quadrilaterals 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 –

A square is a regular quadrilateral.