Symmetry Test

Result

Symmetry Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

A rectangle has _____ line(s) of symmetry.

A
one

B
two

C
three

D
four

Solution

A rectangle has two lines of symmetry.
Question 2
1 / -0

After rotating through 90° about its centre, a figure looks exactly the same as at original position. At what other angle will this happen again?

A
120°

B
180°

C
240°

D
260°

Solution

A square looks exactly the same when rotated through an angle of 90^o.
At 180^o, it will again look exactly the same as at original position.
Question 3
1 / -0

Name the shape which has both line and rotational symmetry of order more than 2.

A
Trapezium

B
Rectangle

C
Triangle

D
Square

Solution

A square has both line and rotational symmetry of order more than 1.

Line symmetry:

Rotational symmetry:
Question 4
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 symmetryabouta vertical mirror are: A, H, I, M, O, T, U, V, W, X and Y
Question 5
1 / -0

What is the order of rotational symmetry of an equilateral triangle?

A
1

B
2

C
3

D
4

Solution

The order of rotational symmetry of an equilateral triangle is 3.
Question 6
1 / -0

Which of the following figures has one line of symmetry?

A

B

C

D

Solution
Question 7
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 8
1 / -0

The following figure has the order of rotational symmetry as 2 x A. Find A.

A
4

B
3

C
2

D
1

Solution

A shape has rotational symmetry when it looks the same after a rotation of less than one full turn.
The given shape can be rotated 4 times in one full turn and it will look the same each time.
This figure has a rotational symmetry of order 4.
So, 2 x A = 4
A =
Question 9
1 / -0

Which of the following figures has rotational symmetry of order not more than 1?

A

B

C

D

Solution

This figure has rotational symmetry of order not more than 1. In case of other figures, in one complete turn, they look exactly the same for more than 1 time. This does not apply in case of option 2.
Question 10
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 11
1 / -0

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 12
1 / -0

Match the shapes with the respective number of lines of symmetry:

A
a - (1), b - (2), c - (3), d - (4)

B
a - (3), b - (4), c - (1), d - (2)

C
a - (2), b - (1), c - (3), d - (4)

D
a - (3), b - (1), c - (4), d - (2)

Solution
Question 13
1 / -0

Select the correct match from the following:

A

B

C

D

Solution

A circle has an angle of rotation at every point.
Question 14
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.
Question 15
1 / -0

Find A, B, C and D.

A
A - 1, B - Infinity, C - Centre, D - 2

B
A - 2, B - Centre, C - Infinity, D - 2

C
A - 4, B - Centre, C - At every Point , D - 1

D
A - 4, B - Infinity, C - Centre, D - 2

Solution

A rhombus has order of rotation of 4.
A circle has its centre as the centre of rotation, and an angle of rotation at every point.
A semicircle has order of rotation of 1.