Symmetry Class-6 ML Aggarwal ICSE Maths Solutions

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Symmetry Class-6 ML Aggarwal ICSE Mathematics Chapter-12 Solutions. We provide step by step Solutions of Exercise / lesson-12  Symmetry ICSE Class-6th ML Aggarwal Mathematics.

Our Solutions contain all type Questions with Exe- 12.1, Exe-12.2, Objective Type Questions  (includes: Mental Maths, Multiple Choice Questions  ) and Check Your Progress  to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-6 Mathematics.

Symmetry Class-6 ML Aggarwal ICSE Mathematics Chapter-12 Solutions


–: Select Topic :– 

Exercise 12.1 ,

Exercise-12.2,

Objective Type Questions, 

Mental Maths,

Multiple Choice Questions ,(MCQ)

Check Your Progress

 


 Ex 12.1 Symmetry Class-6 ML Aggarwal ICSE Mathematics Solutions

Question 1.
Draw the line (or lines) of symmetry, if any, of the following shapes and count their number.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 1

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 2
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 3

Question 2.
Draw the line (or lines) of symmetry, if any, of the following pictures (of objects) and count their number:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 4

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 5

Question 3.
Draw the line (or lines) of symmetry, if any, of the following road signs and count their number:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 6

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 7

Question 4.
Draw the line (or lines) of symmetry, if any, of the following numerals and count their number:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 8

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 9

Question 5.
Copy the following figures on a squared paper and draw the lines of symmetry (if any) and count their number:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 10

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 11

Question 6.
Write the letters of words ‘JUST LOOK’ which have no line of symmetry.

Answer

The words which have no line of symmetry are : J, S, L and K.
The words which have one line of symmetry are : ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 12

Question 7.
Can you draw a triangle which has
(i) exactly one line of symmetry?
(ii) exactly two lines of symmetry?
(iii) exactly three lines of symmetry?
(iv) no lines of symmetry?
Sketch a rough figure in each case and name the triangle.

Answer

(i) A isosceles triangle
(ii) No possible
(iii) A equilateral triangle
(iv) ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.1 13 scalene triangle


Symmetry Class-6 ML Aggarwal ICSE Mathematics Solutions Ex 12.2

Question 1.

Copy the following figures on a squared paper. Complete each of them such that the dotted line is the line of symmetry:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.2 1

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.2 2

Question 2.
Copy the following figures on a squared paper. Complete each of them such that the resultant figure has two dotted lines as the lines of symmetry:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.2 3

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.2 4

Question 3.
In the given figure, / is the line of symmetry. Complete the diagram to make it symmetrical.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.2 5

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.2 6

Question 4.
In the given figure, l is the line of symmetry. Draw the image of the parallelogram and complete the diagram so that it becomes symmetrical.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.2 7

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.2 8

Question 5.
Copy the following figures on a squared paper and find their reflections in the mirror line l.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.2 9

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Ex 12.2 10


Objective Type Questions, Symmetry Class-6 ML Aggarwal  ICSE Mathematics Chapter-12 Solutions

Mental Maths


Question 1.
Fill in the blanks:
(i) The subtraction symbol – has …….. lines of symmetry.
(ii) The addition symbol + has …….. lines of …….. symmetry.
(iii) Line of symmetry is also known …….. line or …….. of symmetry.
(iv) A kite has …….. line(s) of symmetry:
(v) A parallelogram has …….. line(s) of symmetry.
(vii) A rectangle is symmetrical about the lines joining the …….. of the opposite sides.
(viii)The number of capital letters of the English alphabet having only vertical line of symmetry is ……..
(ix) The number of capital letters of the English alphabet having only horizontal line of symmetry is ……..
(x) The number of capital letters of the English alphabet having both horizontal and vertical lines of symmetry is ……..
(xi) The digits having two lines of symmetry are …….. and ……..

Answer

(i) The subtraction symbol – has two lines of symmetry.
(ii) The addition symbol + has four lines of symmetry.
(iii) Line of symmetry is also known mirror line or axis of symmetry.
(iv) A kite has one line(s) of symmetry.
(v) A parallelogram has no line(s) of symmetry.
(vi) The number of lines of symmetry in a regular hexagon is 6.
(vii) A rectangle is symmetrical about the lines joining
the mid-points of the opposite sides.
(viii )The number of capital letters of the English alphabet
having only vertical line of symmetry is 7.
(ix) The number of capital letters of the English alphabet
having only horizontal line of symmetry is 4.
(x) The number of capital letters of the English alphabet
having both horizontal and vertical lines of symmetry is 4.
(xi) The digits having two lines of symmetry are 0 and 8.

Question 2.

State whether the following statements are true (T) or false (F):
(i) The letter N has one line of symmetry.
(ii) Every hexagon has six lines of symmetry.
(iii) All right angled triangles have one line of symmetry.
(iv) A triangle with more than one line of symmetry must be an equilateral triangle.
(v) A line of symmetry divides a figure into two identical parts.
(vi) A circle has only 8 lines of symmetry.
(vii) A regular octagon has 10 lines of symmetry.
(viii) A square and a rectangle have the same number of lines of symmetry.
(ix) A right angled triangle can have atmost one line of symmetry.
(x) If an isosceles triangle has more than one line of symmetry, then it must be rn equilateral triangle.
(xi) If a rectangle has more than two lines of symmetry, then it must be a square.

Answer

(i) The letter N has one line of symmetry. False
(ii) Every hexagon has six lines of symmetry. False
(iii) All right angled triangles have one line of symmetry. False
(iv) A triangle with more than one line of symmetry
must be an equilateral triangle. True
(v) A line of symmetry divides a figure into two identical parts. True
(vi) A circle has only 8 lines of symmetry. False
(vii) A regular octagon has 10 lines of symmetry. False
(viii)A square and a rectangle have the same number
of lines of symmetry. False
(ix) A right angled triangle can have
at most one line of symmetry. True
(x) If an isosceles triangle has more than one line of symmetry,
then it must be an equilateral triangle. True
(xi) If a rectangle has more than two lines of symmetry,
then it must be a square. True


Multiple Choice Questions

MCQ, Symmetry Class-6 ML Aggarwal ICSE Mathematics Chapter-12 Solutions

Choose the correct answer from the given four options (3 to 15):
Question 3.
The number of lines of symmetry of a scalene triangle is
(a) 0
(b) 1
(c) 2
(d) 3

Answer

0 (a)
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 1

Question 4.
The letter F has
(a) one horizon line of symmetry
(b) one vertical line of symmetry
(c) two lines of symmetry
(d) no line of symmetry

Answer

no line of symmetry (d)

Question 5.
The number of lines of symmetry of a rectangle is
(a) 0
(b) 1
(c) 2
(d) 4

Answer

2 (c)
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 2

Question 6.
A rhombus is symmetrical about
(a) each of its two diagonals
(b) each of its two lines joining the mid-points of opposite sides
(c) each of the perpendicular bisector of its sides
(d) none of these.

Answer

each of its two diagonals (a)
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 3

Question 7.
The number of lines of symmetry of a circle is
(a) 4
(b) 8
(c) 16
(d) unlimited

Answer

unlimited (d)
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 4

Question 8.
Which of the following letters does not have any line of symmetry?
(a) B
(b) T
(c) Z
(d) Y

Answer

Z (c)

Question 9.
Which of the following letters does not have the vertical line of symmetry?
(a) A
(b) H
(c) M
(d) E

Answer

E, because E has horizontal line of symmetry. (d)

Question 10.
Which figure from the following figures is not symmetrical with respect to any line?
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 5

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 6

Question 11.
In which of the given figures is the dotted line of symmetry?
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 7
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 8

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 9

Question 12.
Amongst the given figures, the one having maximum number of lines of symmetry is:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 10

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 11

Question 13.
The angle between the mirror line l and the line segment joining a point and its reflection (image) is:
(a) 0°
(b) 45°
(c) 60°
(d) 90°

Answer

90° (d)

Question 14.
Which of two figures are image of each other (mirror line shown dotted)?
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 12

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 13

Question 15.
Which of the two figures are mirror images of each other (mirror line shown dotted)?
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 14
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 15

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Objective Type Questions 16


Check Your Progress

Symmetry Class-6 ML Aggarwal ICSE Mathematics Chapter-12 Solutions

Question 1.

Draw the line (or lines) of symmetry, if any, of the following figures/shapes and count their number:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 1

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 2

Question 2.
Draw the line (or lines) of symmetry, if any, of the following pictures of playing cards and count their number:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 3

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 4

Question 3.
Write the letters of the word ‘ALGEBRA’ which have no line of symmetry.

Answer

L, G R

Question 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.

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 5
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 6

Question 5.
Copy the following figures on a squared paper and complete each figure such that the resultant figure is symmetrical about the dotted line (or lines):
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 7

Answer

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 8

 

Question 6.
State whether the following statement is true or false. Justify your answer:
“A straight line dividing a figure into two identical parts is necessarily a line of symmetry.”

Answer

False, in the figure shown,
diagonals AC divides the rectangle into two identical parts
but rectangle is not symmetrical about line \overleftrightarrow { AC } .
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 9

Question 7.
Find whether the figure on the left side is the reflection of the figure on right side. If not, draw the correct figure.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 10

Answer

No
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 12 Symmetry Check Your Progress 11

 

-: End of  Symmetry Class-6 ML Aggarwal Solutions  :–

 

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