Symmetry Test

Result

Symmetry Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following letters does not have the vertical line of symmetry?

A
M

B
H

C
E

D
V

Solution

A H M T U V W Y have vertical line of symmetry.
Hence option C is answer.
Question 2
1 / -0

The number of lines of symmetry in a protractor is

A
0

B
1

C
2

D
More than 2

Solution

A protractor is a semicircle and a semicircle has 1 line symmetry.
Question 3
1 / -0

Write the letters of the word 'MATHEMATICS' which have no line of symmetry.

A
S

B
M

C
E

D
Y

Solution

Letter 'S' in the word 'MATHEATICS' has no line symmetry.
Question 4
1 / -0

What is the order of rotational symmetry of this shape?

A
2

B
4

C
8

D
16

Solution

It does not look the same after a rotation of $\displaystyle { 45 }^{ \circ }$
It requires a rotation of $\displaystyle { 90 }^{ \circ }$
So it looks the same after rotations of $\displaystyle { 90 }^{ \circ },{ 180 }^{ \circ },{ 270 }^{ \circ }$ and $\displaystyle { 360 }^{ \circ }$ takes it back to its original position.
So the order of rotational symmetry is 4
Question 5
1 / -0

The order of rotational symmetry of semicircle is/are

A
$0$

B
$1$

C
$2$

D
Infinite

Solution

The number of rotational symmetry which a semicircle has is 1.
Question 6
1 / -0

The number of lines of symmetry in a regular pentagon is

A
$3$

B
$4$

C
$5$

D
$6$

Solution

A pentagon has 5 lines of symmetry.
Question 7
1 / -0

The rectangle is rotated a complete turn about the point O.
Which of the following shows the new position of the rectangle?

A

B

C

D
Question 8
1 / -0

Which figure shows the rotation image of pentagon $A$ after a $216^o$ clockwise rotation about its centre?

A
Figure iii

B
Figure i

C
Figure iv

D
Figure ii

Solution

In these figure one rotation is $\frac{360}{5}=72^{°}$
So the figure 3 is $216^{°}$
So answer is figure 3.
Question 9
1 / -0

The number of lines of symmetry in a regular hexagon is

A
$4$

B
$5$

C
$6$

D
$7$

Solution

A regular hexagon has 6 lines of symmetry.
Question 10
1 / -0

What is the order of rotational symmetry and angle of rotation for this design?

A
$4\ and\ 90^o$

B
$6\ and\ 120^o$

C
$8\ and\ 60^o$

D
$8\ and\ 45^o$

Solution

On rotating the given shape by ${90}^{\circ}$ , the shape remains the same.
Thus the angle of rotation for the given shape is ${90}^{\circ}$ .
Also on rotating ${90}^{\circ}$ , four times, the shape remains the same on each turn and comes back to its original position. Thus the order of rotational symmetry of the given shape is $4$