Symmetry Test

Result

Symmetry Test - 11

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The number of lines of symmetry in compasses is

A
0

B
1

C
2

D
3

Solution

The number of lines of symmetry in compasses is $$0.$$
Question 2
1 / -0

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

A

B

C

D

Solution

one complete turn implies ,rotate the figure $$360^o$$ about given point i.e. point $$O$$ in the given figure.
Take any one corner of the given figure (say A) , now rotate the figure about point $$O$$,if the figure complete one rotation about point $$O$$ ,then initial point $$A$$ and final point $$A$$ (after rotation) must be lie at the same place .
Question 3
1 / -0

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

A

B

C

D

Solution

The point $$O$$ stays in the same place.
But the other corners of the rectangle go to the opposite side of $$O$$.
So the answer is $$D$$.
Question 4
1 / -0

How many lines of symmetry does a rhombus have?
(In this case we mean a rhombus that is not a square)

A
1

B
2

C
4

D
None

Solution

$$\Rightarrow$$ A rhombus has $$2$$ lines of symmetry which cuts it into two identical parts.
$$\Rightarrow$$ Both the lines of symmetry in a rhombus are from its diagonals.
$$\Rightarrow$$ So, it can be said the rhombus lines of symmetry are its both diagonals.
$$\therefore$$ Rhombus have $$2$$ lines of symmetry.
Question 5
1 / -0

What is the angle of rotation symmetry for a shape that has rotational symmetry of order $$5$$?

A
$$144^\circ$$

B
$$36^\circ$$

C
$$72^\circ$$

D
$$75^\circ$$

Solution

A pentagon has rotational symmetry of order $$5$$.

Let $$\theta$$ be the measure of each angle in pentagon.

$$\Rightarrow \theta= \dfrac{360^{\circ}}{5}\\\ \ \ \ \ \ =72^{\circ}$$

Thus option (C) is correct
Question 6
1 / -0

A $${45^0-45^0-90^0}$$ set square has ----- line/lines of symmetry.

A
1

B
0

C
2

D
None

Solution

A line of symmetry is a line that cuts a shape exactly in half.
So, $$45^{\circ}-45^{\circ}-90^{\circ}$$ set sqaure has $$1$$ line of symmetry.
So, $$\text{A}$$ is the correct option.
Question 7
1 / -0

Which shapes have at least $$2$$ lines of symmetry?

A
Shapes $$P, Q, S$$

B
Shapes $$P, S$$

C
Shapes $$Q, R, S$$

D
Shapes $$P, Q, R, S$$

Solution

Figure $$Q$$ is a square which has $$4$$ line symmetry.
Figure $$R$$ is a circle which has infinite line of symmetry.
Figure $$S$$ is a hexagon which has $$6$$ line symmetry.
Hence option $$C$$ is answer.
Question 8
1 / -0

How many lines of symmetry of the does the rectangle have

A
0

B
2

C
4

D
6

Solution

$$\Rightarrow$$ There are $$2$$ symmetry lines of a rectangle which are from its length and breadth.
$$\Rightarrow$$ These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.
$$\therefore$$ Rectangle has $$2$$ lines of symmetry.
Question 9
1 / -0

Find the order of rotational symmetry of equilateral triangle.

A
2

B
3

C
4

D
5

Solution

If a equilateral triangle is rotated by 120 (one fifth of 360), then it exactly fits its own outline.
Therefore a equilateral triangle has rotational symmetry of order 3.
Question 10
1 / -0

How many lines of symmetry are in this isosceles triangle?

A
1

B
2

C
3

D
4

Solution

An isosceles triangle has one line of symmetry. However, if the isosceles triangle is also an equilateral triangle, then it has three lines of symmetry.
But the given triangle is not an equilateral triangle.
An isosceles triangle is defined as a triangle with two sides of equal length. An equilateral triangle is defined as a triangle with three sides of equal length. Therefore, an equilateral triangle is also an isosceles triangle.
This triangle has 2 sides of equal length. When an isosceles triangle has exactly two sides of equal length, then it has just 1 line of symmetry that runs from the vertex between the two sides of equal length to the midpoint of the side opposite that vertex.
So option A is the correct answer.