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Mirror images for the given figures are shown as follows:
So, from the above-drawn figures, we can say that the figures having the vertical line of symmetry will have the same mirror images and the letters are:
O, M, H, T, V, X
Thus, the mirror images of these letters will look the same.

(a) The given figure can be completed with the help of two symmetric lines i.e., horizontal and vertical lines of symmetry.
Therefore, the completed figure is shown as follows:
(b) We can complete the figure with the help of horizontal and vertical lines of symmetry.
Therefore, the above-given figure can be completed as follows:
(c) The given figure can be completed with the help of...

(a) From the given figure, we can observe that,
There are 4 lines of symmetry in the given figure and the lines of symmetry can be shown as:
(b) From the given figure, we can observe that,
There is only 1 line of symmetry in the given figure and it can be drawn as follows:
(c) From the given figure, we can observe that,
There are two lines of symmetry in the given figure and it can be drawn...

The image appears to be 200 cm away from us, i.e., 100 cm on the other of the mirror.
And if we move towards the mirror, the image moves closer to us and to the mirror, but the size remains the same.

By observation we can complete the given figure as follows:

(a) The letters having the vertical line of symmetry are as follows:
A, H, I, M, O, T, U, V, W, X, Y
(b) The letters having the horizontal line of symmetry are as follows:
B, C, D, E, H, I, K, O, X
(c) The letters that have no line of symmetry are as follows:
F, G, J, L, N, P, Q, R, S, Z

(a) The given figure is asymmetrical. Hence, there is no possibility of the line of symmetry.
(b) By observation, the given figure has two squares having a common vertex.
Hence, there are two lines of symmetry possible.
(c) By observation, the given figure has two squares with a common centre.
Hence, the given figure will have four lines of symmetry.
(d) By observation, the given is...

(a) Triangle with only one line of symmetry is the horizontal line of symmetry and no vertical line of symmetry.
Hence, for the given case,
The triangle can be drawn as:
(b) The quadrilateral which has both the horizontal line and the vertical line of symmetry.
Hence, for the given case:
The quadrilateral can be drawn as:
(c) The quadrilateral which has only one line of symmetry that is:
The...

(a) Yes, with one line of symmetry we have the triangle:
This is an isosceles triangle.
(b) No, as there exists no triangle with only two symmetry lines.
Hence, no such triangle is possible.
(c) Yes, a triangle with three lines of symmetry is possible:
And it is an equilateral triangle, shown below in the figure.
(d) Yes, the triangle with no line of symmetry is possible and it is a scalene...

**Q : 3 **Complete the following table.

Shape |
Rough figure |
Number of lines of symmetry |

Equilateral triangle | 3 | |

Square | ||

Rectangle | ||

Isosceles triangle | ||

Rhombus | ||

Circle |

The completed table is shown below:
Shape
Rough Figure
No. of lines of symmetry
Equilateral triangle
3
Square
4
Rectangle
2
Isosceles Triangle
1
Rhombus
2
Circle
Infinite or countless

(a) The line of symmetry of the given figure:
There is only one line of symmetry therefore, it is an isosceles triangle.
(b) The line of symmetry of the given figure:
There is only one line of symmetry therefore, it is an isosceles triangle.
(c) The line of symmetry of the given figure:
There is only one line of symmetry and an angle is right-angled therefore, it is a right-angled isosceles...

The number of lines of symmetry for each of the following shapes is given:
(a)
The given figure has 4 lines of symmetry
(b) .
The given figure has 4 lines of symmetry.
(c)
The given figure has 4 lines of symmetry
(d)
The given figure has only 1 line of symmetry.
(e)
The given figure has 6 lines of symmetry.
(f)
The given figure has 6 lines of symmetry.
(g)
The given figure is...

The above diagram can be completed as follows:

The given figure can be completed as follows:

After completion of the above-given figures, we obtain the following figures.
(a)
(b)
(c)
(d)
(e)
(f)

(a) Yes, it is symmetrical.
And the line of symmetry is shown in the figure.
(b) Yes, it is symmetrical.
And the line of symmetry is shown in the figure.
(c) No, it is not symmetrical hence there is no line of symmetry in it.
(d) Yes, it is symmetrical.
And the line of symmetry is shown in the figure.
(e) Yes, it is symmetrical.
And the line of symmetry is shown in the figure.
(f) Yes, it...

From the figure we can say that line is the mirror line.
Because, when the figure is completely folded about the line then the left part is covered by the right part completely.

Examples of symmetrical objects that we use in our home or school are as follows:
Book, DVD, spectacles, compass, etc.

We can observe that the angle of rotation is the factor of ,then it will have rotational symmetry of order more than 1.
(i) is a factor of so the figure having its angle of rotation as will have rotational symmetry of order more than 1.
(ii) is not a factor of so the figure having its angle of rotation as will not have rotational symmetry of order more than 1.

After rotating by about a centre, a figure looks exactly the same as its original position, then it will look symmetrical on rotating by All angles are multiples of .

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