NCERT Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.7

NCERT Solutions Class 6 Maths
Chapter – 5 (Understanding Elementary Shapes)

The NCERT Solutions in English Language for Class 6 Mathematics Chapter – 5 Understanding Elementary Shapes Exercise 5.7 has been provided here to help the students in solving the questions from this exercise.

Chapter 5: Understanding Elementary Shapes

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 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.

Solutions:

(a) True, each angle of a rectangle is a right angle.
(b) True, the opposite sides of a rectangle are equal in length.
(c) True, the diagonals of a square are perpendicular to one another.
(d) True, all the sides of a rhombus are of equal length.
(e) False, all the sides of a parallelogram are not equal.
(f) False, the opposite sides of a trapezium are not parallel

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) Squares, rectangles, parallelograms are all quadrilaterals.
(e) Square is also a parallelogram.

Solutions:

(a) All the properties of a rectangle are there in a square.
(b) All the properties of a parallelogram are there in a rectangle.
(c) All the properties of a rhombus are there in a square.
(d) All the four sided closed plane figure are known as quadrilateral.
(e) All the properties of a parallelogram are there in a square.

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?

Solutions:

A regular quadrilateral is a square, regular pentagon, regular hexagon, regular octagon etc.

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