Symmetry Test

Result

Symmetry Test - 10

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Question 1
1 / -0

All figures when rotated come back to its original position. The angle of rotation is

A
$$90^o$$

B
$$180^o$$

C
$$270^o$$

D
$$360^o$$

Solution

since one completer revolution is equivalent to circle path.
Therefore, total angle is $$ 360^0$$
Option D is correct.
Question 2
1 / -0

The order of rotational symmetry of an equilateral triangle is/are:

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

Equilateral triangle objects have order $$3$$ rotational symmetry.
Question 3
1 / -0

This star is made up of equilateral triangles:
What is the order of rotational symmetry of the star?

A
3

B
4

C
6

D
12

Solution

If a figure is rotated by $$120^{\circ}(=\dfrac{1}{3}^{th}$$ of $$360^{\circ})$$, then it fits its own outline.
$$\therefore$$ given figure has rotational symmetry of order $$3$$.
So, $$\text{A}$$ is the correct option.
Question 4
1 / -0

The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry are ------.

A
0

B
1

C
4

D
6

Solution

We know that in A there is only vertical symmetry and in B there is only horizontal symmetry. Only H, I, O, X have both vertical and horizontal symmetries. The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is 4 (H, I, O, X).
So, option C is the correct answer.
Question 5
1 / -0

How many lines of symmetry does the parallelogram have?

A
2

B
3

C
4

D
None of these

Solution

The number of lines of symmetry of a parallelogram depends on the type of parallelogram. A non-special parallelogram does not have any lines of symmetry. This includes any quadrilateral with two pairs of parallel and equal sides, except for rectangles, squares and rhombuses.
A rectangle is a parallelogram with four right angles. This property allows it to have two lines of symmetry.
A rhombus is a parallelogram with four equal sides. The number of lines of symmetry of a rhombus depends on whether it is a square or not. If it has four right angles, the rhombus is a square and thus has four lines of symmetry. If not, the rhombus only has two lines of symmetry.
So the correct answer is option D.
Question 6
1 / -0

The number of lines of symmetry in a ruler is

A
0

B
1

C
2

D
4

Solution

The number of lines of symmetry in a ruler is $$2.$$
In the image shown,the two lines divide the ruler into two equal parts.
Question 7
1 / -0

The number of lines of symmetry in a picture of Taj Mahal is ______.

A
1

B
2

C
0

D
3

Solution

If you drew a line down the middle of the picture, you would notice that each side of the Taj Mahal looks exactly the same. This means the building has one line of symmetry. Symmetry is when an object looks the exact same on one side as the other.
So option A is the correct answer.
Question 8
1 / -0

The number of lines of symmetry in a divider is

A
0

B
1

C
2

D
3

Solution

The number of lines of symmetry in a divider is 1 as shown in figure
Question 9
1 / -0

The number of lines of symmetry in a $${30^{\circ} -60^{\circ} -90^{\circ}}$$ set square is

A
$$0$$

B
$$1$$

C
$$2$$

D
$$3$$

Solution

This set square shows scalene triangle which has no line symmetry.
Question 10
1 / -0

The digit having only one line of symmetry is ______ .

A
0

B
3

C
5

D
9

Solution

Symmetry is the property of shapes which when flipped looks identical to it's original shape. A line of symmetry is a line that divides the given shape into identical parts. 0 has two lines of symmetry. It is symmetrical over both horizontal and vertical axis.
3 has one line of symmetry. Remaining numbers do not have any lines of symmetry.
So option B is the correct answer.