Symmetry Test

Result

Symmetry Test - 15

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Question 1
1 / -0

The order of rotational symmetry for a square is___________

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

"Order of rotational symmetry of a square"

The order of rotational symmetry of a square is, number of times a square fits onto itself during a full rotation of $$360^\circ$$.

When we look at the above images of square, it fits on to itself $$4$$ times during a full rotation of $$360^\circ$$.

So, the order of rotational symmetry of a square is equal to $$4.$$
Question 2
1 / -0

The number of lines of symmetry in a square is

A
$$4$$

B
$$3$$

C
$$2$$

D
Infinite

Solution

A square is symmetric about each of the diagonals and the perpendicular bisectors of the opposite
sides.
Hence, it has $$4$$ lines of symmetry.
Question 3
1 / -0

If a triangle has $$3$$ lines of symmetry, then it is:

A
Isosceles

B
Right-angles

C
Equilateral

D
Obtuse angled

Solution

In an equilateral triangle, the three angle bisectors of the three angles are the lines of symmetry. Thus it has three lines of symmetry.
Question 4
1 / -0

Which of the following figures has only one line of symmetry?

A

B

C

D

Solution

Figure B has one line of symmetry passing vertically through its centre
Question 5
1 / -0

The order of rotational symmetry for the given figure is__________

A
$$3$$

B
$$4$$

C
$$6$$

D
$$12$$

Solution

Clearly from the diagram, the order of rotational symmetry for the given figure is $$6$$.
Question 6
1 / -0

The order of rotational symmetry for the given figure is__________

A
4

B
3

C
2

D
1

Solution

The order of rotational symmetry for the given figure is 4
Question 7
1 / -0

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

A

B

C

D

Solution

Half a complete turn = half of $$360^\circ=180^\circ$$
The point O stays in the same place.
But the other corners of the square go to the opposite side of O.
So the answer is B.
Question 8
1 / -0

Write all the capital letters of the English alphabets which have two lines of symmetry.

A
H, I and X

B
A,C and B

C
P,Q and R

D
S,Y and Z

Solution

Letter H,I and X has two line of symmetry.
Question 9
1 / -0

A regular pentagon has how many lines of symmetry ?

A
3

B
4

C
5

D
6

Solution

A regular pentagon has $$5$$ lines of symmetry.
Question 10
1 / -0

How many lines of symmetry does this octagon have?

A
$$4$$

B
$$6$$

C
$$8$$

D
$$10$$

Solution

It has 4 lines of symmetry. ( one vertically, one horizontally, two diagonally)
(This is NOT a regular octagon; otherwise there would be another 4 lines of symmetry passing through the opposite corners)