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

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 to RD Sharma Solutions Class 6 Maths Chapter 17 Symmetry Exercise 17.3 PDF which are provided here.

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

 

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

Exercise 17.3 page: 17.11

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 1
(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 1
(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 isosceles 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 Class 6 Chapter 17 Ex 17.3 Question 8 image
Solution:

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

(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

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