Question

Which of the following alphabets has no line of symmetry?
A. O
B. B
C. Q
D. A

Answer 1

Hint: To solve this question, we should have an idea about the line of symmetry. It is an imaginary line where we can fold the image and have both the halves match exactly. In order to find the line of symmetry of an image, we will first check by drawing a horizontal line and then a vertical line through the center of the image. And then, if we get symmetric parts, then that line will be a line of symmetry.

Complete step-by-step answer:
In this question, we have been asked to find which of the given alphabets, that are, O, B, Q and A has no line of symmetry. Before we start solving this question, we should know about the concept of line of symmetry. It is an imaginary line where we can fold the image and have both the halves match exactly. So, we will consider each option one by one and check whether they have a line of symmetry or not.
Let us consider option (A), that is O.
On drawing a horizontal line, we will get,

So, we can see that, the horizontal line divides A into two equal parts. Hence O has a line of symmetry.
Now, let us consider option (B), that is B.
On drawing a horizontal line, we get,

We can see that the two halves match exactly. Hence, B has a line of symmetry.
Now, let us consider option (C), that is Q.
By drawing a horizontal line, we get,

We can see that the two halves don’t match. So, let us draw a vertical line and see.

Here also, we can see that the two halves don’t match. Hence, Q has no line of symmetry.
Now, let us consider the option (D), that is A.
On drawing a vertical line, we get,

We can see that both the halves match exactly. Hence, A has a line of symmetry.
After checking every option, we get that only Q has no line of symmetry. Hence, option (C) is the correct answer.

Note: The possible mistakes one can make in this question is by drawing either horizontal or vertical lines only and if the alphabet is not symmetric, they might write that the alphabet has no line of symmetry, but this is wrong. We have to consider both the cases, that is by drawing both horizontal and vertical lines in order to check if any of the two lines make the alphabet symmetric or not. If both the lines don’t give symmetric figures, only then that figure will have no line of symmetry.
Also, remember that there is no specific rule to find the line of symmetry or to determine that images are symmetric or not, we have to visualize it ourselves.