Symmetry Test

Result

Symmetry Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following pairs of letters of English alphabet have reflection symmetry about a vertical mirror?

A
A and V

B
H and S

C
T and F

D
D and O

Solution

The letters of English alphabet that have reflection symmetry about a vertical mirror are: A, H, I, M, O, T, U, V, W, X and Y
Question 2
1 / -0

A figure has a rotational symmetry of order not more than 1. Then, the angle of rotation can be

A
22°

B
24°

C
20°

D
36°

Solution

If the angle of rotation is a factor of 360°, then the figure has rotational symmetry of order more than 1.
22° is not a factor of 360°.

So, it cannot be the angle of symmetry.
Question 3
1 / -0

How many of the following letters do not have a rotational line of symmetry?

A, K, L, H, O, Z, I, S, X

A
4

B
3

C
2

D
1

Solution

The letters H, I, O, S, X and Z all have rotational symmetry.

So, there are 3 letters which do not have a rotational line of symmetry.
Question 4
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Fill in the blanks:

A circle has ______P______ line(s) of symmetry.

A scalene triangle has ____Q______ line(s) of symmetry and an isosceles trapezium has _____R______ line(s) of symmetry.

A
P - infinite, Q - no, R - one

B
P - one, Q - infinite, R - no

C
P - no, Q - one, R - infinite

D
P - no, Q - infinite, R - one

Solution

A circle has infinite lines of symmetry.
A scalene triangle has no lines of symmetry.
An isosceles trapezium has one line of symmetry.
Question 5
1 / -0

Write (T) for true and (F) for false:

a. An irregular polygon of n sides has 2n lines of symmetry.
b. An equilateral triangle has 3 lines of symmetry.
c. Number 0 has both rotational and line symmetry.
d. A square has 2 lines of symmetry and rotational symmetry of order 1.

A
a - F, b - T, c - T, d - F

B
a - F, b - F, c - F, d - T

C
a - T, b - F, c - F, d - F

D
a - T, b - T, c - F, d - F

Solution

a. An irregular polygon of n sides has 2n lines of symmetry. (F)
An irregular polygon of n sides has zero lines of symmetry.

b. An equilateral triangle has 3 lines of symmetry. (T)
c. Number 0 has both rotational and line symmetry. (T)
d. A square has 2 lines of symmetry and rotational symmetry of order 1. (F)

A square has rotational symmetry of order 4.