Question

The lines of symmetry in the double – headed arrow AB is

(a) 0
(b) 1
(c) 2
(d) 3

Answer 1

Hint: In order to solve this problem, we need to understand the meaning to lines of symmetry. A line of symmetry is a line that cuts a shape into half. This means that if we were to fold the shape along the line, both halves would match exactly. Equally, if we were to place a mirror along the line, the shape would remain unchanged.

Complete step-by-step answer:
Let’s first understand by lines of symmetry.
A line of symmetry is a line that cuts a shape into half. This means that if we were to fold the shape along the line, both halves would match exactly. Equally, if we were to place a mirror along the line, the shape would remain unchanged.
We can demonstrate this with a simple example of a square.

As we can see that in the square there are four lines of symmetry. That means if we place a mirror on any one of the lines we will get the exact replica of the other half.
Now, we have been asked about the double headed arrow,
The double headed can be shown as follows,

As we can see that the left hand side and right hand side can be divided by the line of symmetry.Also, the upper half and the lower half can be divided into two equal halves by the line of symmetry.

Therefore, we can see that in a double headed arrow there are two lines of symmetry.
So, the correct answer is “Option C”.

Note: We need to understand that one line of symmetry is taken into consideration one at a time, and not all at once. In the example of the square either horizontal, vertical, or any one of the diagonal is taken into account. But there are 4 ways distinct ways of drawing the line of symmetry.