RD Sharma Solutions for Class 6 Chapter 17: Symmetry Exercise 17.3

RD Sharma Class 6 Solutions Chapter 17 Ex 17.3 PDF Free Download

Here, we get to know about the important figures which contain more than two lines of symmetry. The problems provided help us to understand the symmetry of figures like line, angle, isosceles triangles, equilateral triangles, parallelogram, rhombus, rectangle etc. The solutions are available for free download to help students score well in the exam. In order to solve exercise wise problems based on textbook of current CBSE syllabus, students can refer RD Sharma Solutions Class 6 Maths Chapter 17 Symmetry Exercise 17.3 PDF which are provided here.

RD Sharma Solutions for Class 6 Chapter 17: Symmetry Exercise 17.3 Download PDF

 

rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17
rd sharma solutions class 6 maths chapter 17

 

Access RD Sharma Solutions for Class 6 Chapter 17: Symmetry Exercise 17.3

1. Complete the following table:

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 1

Solution:

Shape

Rough Figure

Number of lines of symmetry

(i) Scalene triangle

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 2

0

(ii) Isosceles triangle

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 3

1

(iii) Equilateral triangle

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 4

3

(iv) Rectangle

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 5

2

(v) Square

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 6

4

(vi) Parallelogram

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 7

0

(vii) Rhombus

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 8

2

(viii) Line

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 9

Infinitely many

(ix) Line Segment

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 10

2

(x) Angle

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 11

1

(xi) Isosceles trapezium

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 12

1

(xii) Kite

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 13

1

(xiii) Arrow-head

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 14

1

(xiv) Semi-circle

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 15

2

(xv) Circle

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 16

Infinitely many

(xvi) Regular pentagon

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 17

5

(xvii) Regular hexagon

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 18

6

2. Consider the English alphabets A to Z. List among them the letters which have

(i) vertical line of symmetry. (like A)

(ii) horizontal lines of symmetry. (like B)

(iii) vertical and horizontal lines of symmetry. (like I)

(iv) no line of symmetry. (like Q)

Solution:

(i) Vertical line of symmetry. (like A)

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 19

(ii) Horizontal lines of symmetry. (like B)

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 20

(iii) Vertical and horizontal lines of symmetry. (like I)

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 21

(iv) No line of symmetry. (like Q)

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 22

3. Can you draw a triangle having:

(i) exactly one line of symmetry

(ii) exactly two lines of symmetry.

(iii) three lines of symmetry.

(iv) no line of symmetry.

Solution:

(i) Exactly one line of symmetry.

Yes, an equilateral triangle.

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 23

(ii) Exactly two lines of symmetry.

No.

(iii) Three lines of symmetry.

Yes, an equilateral triangle.

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 24

(iv) No line of symmetry.

Yes, a scalene triangle.

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 25

4. On a squared paper, sketch the following:

(i) A triangle with a horizontal line of symmetry but no vertical line of symmetry.

(ii) A quadrilateral with both horizontal and vertical lines of symmetry.

(iii) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.

(iv) A hexagon with exactly two lines of symmetry.

(v) A hexagon with six lines of symmetry.

Solution:

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 26

5. Draw neat diagrams solving the line (or lines) of symmetry and give the specific name to the quadrilateral having:

(i) only one line of symmetry. How many such quadrilaterals are there?

(ii) its diagonals as the only lines of symmetry.

(iii) two lines of symmetry other than diagonals.

(iv) more than two lines of symmetry.

Solution:

(i) Only one line of symmetry.

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 27

(ii) Diagonals as the only lines of symmetry.

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 28

(iii) Two lines of symmetry other than diagonals.

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 29

(iv) More than two lines of symmetry.

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 30

6. Write the specific names of all the three quadrilaterals which have only one line of symmetry.

Solution:

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 31

7. Trace each of the following figures and draw the lines of symmetry, if any:

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 32

Solution:

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 33

8. On squared paper copy the triangle in each of the following figures. In each case draw the line(s) of symmetry if any and identify the type of the triangle.

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 34

Solution:

(i) It is an isosceles triangle having only one line of symmetry.

(ii) It is an equilateral triangle having three lines of symmetry.

(iii) It is a right angled triangle having no line of symmetry.

(iv) It is an isosceles triangle having one line of symmetry.

9. Find the lines of symmetry for each of the following shapes:

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 35

Solution:

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 36

10. State whether the following statements are true or false:

(i) A right-angled triangle can have at most one line of symmetry.

(ii) An isosceles triangle with more than one line of symmetry must be an equilateral triangle.

(iii) A pentagon with one line of symmetry can be drawn.

(iv) A pentagon with more than one line of symmetry must be regular.

(v) A hexagon with line of symmetry can be drawn.

(vi) A hexagon with more than two lines of symmetry must be regular.

Solution:

(i) True

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 37

(ii) True

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 38

(iii) True

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 39

(iv) True

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 40

(v) True

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 41

(vi) True

RD Sharma Solutions for Class 6 Chapter 17 Ex 17.3 Image 42

Access other exercise solutions of Class 6 Maths Chapter 17: Symmetry

Exercise 17.1 Solutions

Exercise 17.2 Solutions

Objective Type Questions

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