Symmetry Test

Result

Symmetry Test - 4

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Question 1
1 / -0

How many lines of symmetry does the parallelogram have?

A
2

B
3

C
4

D
None of these

Solution

The number of lines of symmetry of a parallelogram depends on the type of parallelogram. A non-special parallelogram does not have any lines of symmetry. This includes any quadrilateral with two pairs of parallel and equal sides, except for rectangles, squares and rhombuses.
A rectangle is a parallelogram with four right angles. This property allows it to have two lines of symmetry.
A rhombus is a parallelogram with four equal sides. The number of lines of symmetry of a rhombus depends on whether it is a square or not. If it has four right angles, the rhombus is a square and thus has four lines of symmetry. If not, the rhombus only has two lines of symmetry.
So the correct answer is option D.
Question 2
1 / -0

The number of lines of symmetry in a picture of Taj Mahal is ______.

A
1

B
2

C
0

D
3

Solution

If you drew a line down the middle of the picture, you would notice that each side of the Taj Mahal looks exactly the same. This means the building has one line of symmetry. Symmetry is when an object looks the exact same on one side as the other.
So option A is the correct answer.
Question 3
1 / -0

The number of lines of symmetry in a $${30^{\circ} -60^{\circ} -90^{\circ}}$$ set square is

A
$$0$$

B
$$1$$

C
$$2$$

D
$$3$$

Solution

This set square shows scalene triangle which has no line symmetry.
Question 4
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 5
1 / -0

The digit having only one line of symmetry is ______ .

A
0

B
3

C
5

D
9

Solution

Symmetry is the property of shapes which when flipped looks identical to it's original shape. A line of symmetry is a line that divides the given shape into identical parts. 0 has two lines of symmetry. It is symmetrical over both horizontal and vertical axis.
3 has one line of symmetry. Remaining numbers do not have any lines of symmetry.
So option B is the correct answer.
Question 6
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 7
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.
Question 8
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 9
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 10
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.