**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 :–**** **

**Objective Type Questions, **

**Multiple Choice Questions ,(MCQ)**

### **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.

**Answer**

Question 2.

Draw the line (or lines) of symmetry, if any, of the following pictures (of objects) and count their number:

**Answer**

Question 3.

Draw the line (or lines) of symmetry, if any, of the following road signs and count their number:

**Answer**

Question 4.

Draw the line (or lines) of symmetry, if any, of the following numerals and count their number:

**Answer**

Question 5.

Copy the following figures on a squared paper and draw the lines of symmetry (if any) and count their number:

**Answer**

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 :

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) 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:

**Answer**

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:

**Answer**

Question 3.

In the given figure, / is the line of symmetry. Complete the diagram to make it symmetrical.

**Answer**

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.

**Answer**

Question 5.

Copy the following figures on a squared paper and find their reflections in the mirror line l.

**Answer**

### 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)

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)

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)

Question 7.

The number of lines of symmetry of a circle is

(a) 4

(b) 8

(c) 16

(d) unlimited

**Answer**

unlimited (d)

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?

**Answer**

Question 11.

In which of the given figures is the dotted line of symmetry?

**Answer**

Question 12.

Amongst the given figures, the one having maximum number of lines of symmetry is:

**Answer**

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)?

**Answer**

Question 15.

Which of the two figures are mirror images of each other (mirror line shown dotted)?

**Answer**

**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:

**Answer**

Question 2.

Draw the line (or lines) of symmetry, if any, of the following pictures of playing cards and count their number:

**Answer**

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**

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):

**Answer**

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 .

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.

**Answer**

No

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

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