RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

RD Sharma Solutions for Class 6 Mathematics

Created by: Abhishek Kapoor

Class 6 : RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

The document RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.
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Q.1. Complete the following table:

ShapesRough figureNumber of lines of symmetry
(i) scalene triangleRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev0
(ii) Isosceles triangleRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev1
(iii) equilateral triangle  
(iv) Rectangle  
(v) Parallelogram  
(vii) Rhombus  
(viii) Line  
(ix) Line segment  
(x) Angle  
(xi) Isosceles trapezium  
(xii) Kite  
(xiii) Arrow head  
(xiv) Semi – circle  
(xv) Circle  
(xvi) Regular pentagon  
(xvii) Regular hexagon  

Sol:

ShapesRough figureNumber of lines of symmetry
(i) scalene triangleRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev0
(ii) Isosceles triangleRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev1
(iii) equilateral triangleRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev3
(iv) RectangleRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev4
(v) ParallelogramRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev0
(vii) RhombusRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev2
(viii) LineRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevInfinitely many
(ix) Line segmentRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev1
(x) AngleRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev1
(xi) Isosceles trapeziumRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev1
(xii) KiteRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev1
(xiii) Arrow headRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev1
(xiv) Semi – circleRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev1
(xv) CircleRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevInfinitely many
(xvi) Regular pentagonRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev5
(xvii) Regular hexagonRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev6

 

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

i. Vertical line of symmetry

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

ii. Horizontal line of symmetry

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

iii. Vertical and Horizontal line of symmetry

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev
RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

iv. No line of symmetry

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

 

Q.3. Can you draw a triangle having?

i. Exactly one line of symmetry.

Ans: Yes; isosceles triangle

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

ii. Exactly two line of symmetry.

Ans: No

iii. Three line of symmetry.

Ans: Yes; equilateral triangle

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

iv. no lines of symmetry

ans: Yes; scalene triangle

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

 

Q. 4. On a squared paper, sketch the following

i. A triangle with a horizontal with both horizontal and vertical line of symmetry

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

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

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

Iii. A quadrilateral with horizontal but no vertical lines of symmetry

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

iv. A hexagon with exactly two lines of symmetry

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

v. A hexagon with exactly six lines of symmetry

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

 

Q. 5. Draw neat diagrams showing 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?

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

ii. its diagonals as the only lines of symmetry

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

iii. two lines of symmetry other than diagonals

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

iv. More than two lines of symmetry

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

 

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

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

 

Q. 7. Trace each of the following figures and draw the lines of symmetry. If any

i.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

ii.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

iii.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

iv.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

v.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

vi.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

 

Q. 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 -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

(i) This is an isosceles triangle because it has only one line of symmetry.

(ii) This is an Equilateral triangle because it has three lines of symmetry.

(iii) This is a right angled triangle because it has no line of symmetry.

(iv) This is an isosceles triangle it has one line of symmetry.

 

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

i.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

ii.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

iii.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

iv.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

v.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

vi.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

vii.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

viii.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

 

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

(i) A right- angled triangle can have at most two lines of symmetry

A : True

If it is an isosceles right angle triangle, then it can have only one line of symmetry at the most.

Otherwise, a right angle triangle has no line of symmetry.

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

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

A: If an isosceles triangle has no more than one line of symmetry, then it must be an equilateral triangle.

This is because an equilateral triangle has three lines of symmetry, and a triangle other than that cannot have two lines of symmetry. 

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev
 

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

A: True

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

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

A: True

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

v. A hexagon with one line of symmetry can be drawn

A: True

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRevRD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

vi. A hexagon with more than one line of symmetry must be regular

A: True

RD Sharma Solutions -Ex-17.3, Symmetry, Class 6, Maths Class 6 Notes | EduRev

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