Symmetry Test

Result

Symmetry Test - 19

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Question 1
1 / -0

What is the number of square that must be shaded so that the line AB becomes the line of symmetry ?

A
4

B
3

C
5

D
7

Solution
Question 2
1 / -0

What is the smallest number of squares that must be added so that the line $$AB$$ becomes a line of symmetry?

A
$$1$$

B
$$2$$

C
$$5$$

D
$$4$$

Solution

Hence from the figure we can say that minimum $$5$$ number of squarss must be added , so that line AB will become line of symmetry.
Hence the correct answer is option C.
Question 3
1 / -0

Match the following.

A
(P) $$\rightarrow$$ (iv), (Q) $$\rightarrow$$ (i), (R) $$\rightarrow$$ (ii), (S) $$\rightarrow$$ (iii)

B
(P) $$\rightarrow$$ (iv), (Q) $$\rightarrow$$ (iii), (R) $$\rightarrow$$ (ii), (S) $$\rightarrow$$ (i)

C
(P) $$\rightarrow$$ (ii), (Q) $$\rightarrow$$ (iv), (R) $$\rightarrow$$ (iii), (S) $$\rightarrow$$ (i)

D
(P) $$\rightarrow$$ (ii), (Q) $$\rightarrow$$ (i), (R) $$\rightarrow$$ (iv), (S) $$\rightarrow$$ (iii)

Solution

Rotational symmetry means if we turn an object round it will look same.
Figure P has order of rotational symmetry $$4$$ because it has four ends and if we rotate it in $$90^o$$ it will look same.
Figure Q has order of rotational symmetry $$3$$ because it is an equilateral triangle and if we rotate it in a fixed angle then it will look same.
Figure R has order of rotational symmetry $$2$$ because it is a kite and its diagonal intersect at $$90^o$$.
Figure S has order of rotational symmetry $$5$$ because it is a pentagon whose all sides are equal and if we rotate it in any angle from a fixed point it will look same.
Hence, the answer is (P) $$\rightarrow$$ (iv), (Q) $$\rightarrow$$ (iii), (R) $$\rightarrow$$ (ii), (S) $$\rightarrow$$ (i)
Question 4
1 / -0

What is the smallest number of squares that must be added so that the line $$AB$$ becomes the line of symmetry?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

As shown in the above figure, marked three squares must be added to make the given figure symmetric about the line $$AB.$$
Question 5
1 / -0

State of the order of rotational symmetry of the shape.

A
$$2$$

B
$$4$$

C
$$3$$

D
$$0$$
Question 6
1 / -0

Which of the following square(s) must be shaded so that given figure is symmetric along both $$LM$$ and $$AB$$?

A
$$R$$ and $$S$$

B
$$P$$ only

C
$$Q$$ and $$P$$

D
$$Q$$ only

Solution

$$Q$$ and $$P$$ should be shaded so that the given figure is symmetric along both $$LM$$ and $$AB$$.
Question 7
1 / -0

Which of the following does not have a line of symmetry?

A

B

C

D

Solution

A) The figure has line of symmetry as its diagonal line
C) The figure has line of symmetry as its diagonal lines and the horizontal and vertical lines intersecting their sides at midpoint.
D) The figure has line of symmetry as horizontal line intersecting the verical sides at their midpoints.
B) This figure does not have any symmetry line.
Question 8
1 / -0

Fill in the blanks.
Rotation turns an object about a P point. The fixed point is the centre of Q . The angle by which the object rotates is the R .
Then, P, Q, R is:

A
fixed $$\space$$ rotation $$\space$$ angle of rotation

B
variable $$\space$$ rotation $$\space$$ central angle

C
fixed $$\space$$ angle of rotation $$\space$$ rotation

D
variable $$\space$$ rotation $$\space$$ angle of rotation

Solution

We know that, rotation always takes place along a fixed point.
The fixed point is the centre of rotation.
And the angle by which the object rotates is the angle of rotation.
Hence, the answer is 'fixed rotation angle of rotation'.
Question 9
1 / -0

The order of rotational symmetry a figure which does not have rotational symmetry is:

A
$$0$$

B
$$1$$

C
$$2$$

D
Not defined

Solution

$$\textbf{Step 1 : Find the symmetry}$$
$$\text{If a figure does not have rotational symmetry then the order of rotational symmetry is 1}$$.
$$\because \text{Every figure looks the same after every } 360^{\circ} \text{ turn. }$$
$$\text{So order of rotation is } \dfrac{360}{360}= 1$$

$$\textbf{Hence , Option B is correct}$$
Question 10
1 / -0

In the given figures, the figure that is not symmetric with respect to any line is:

A
(i)

B
(ii)

C
(iii)

D
(iv)

Solution

Option $$B$$ is right
As, it has no line of symmetry.
Horizontal, vertical and line at $$45^0$$ or any other line does not work as symmetric line.