Question

Symbol to represent an arc is:
A. $\bot $
B. $\parallel $
C. $\frown$
D. $\square $

Answer 1

Hint: In this problem we have different symbols that are used in the geometry very widely and we need to identify the symbol which represents the arc. So first we will consider each option individually and observe the alignment and shape of the geometric elements which are in the symbol and conclude that the symbol represents which geometric shape. After observing all the options or symbols we can decide which one represents the arc very easily.

Complete step-by-step solution:
Considering the first option.
In the first option we have the symbol $\bot $.
In the above symbol we can observe that there are two lines: one is a horizontal line and another one is a vertical line and these two are intersecting at a point. Now the angle of intersection between these horizontal and vertical lines becomes $90{}^\circ $.
Hence this symbol is used to represent perpendicular lines.
Considering the second option.
In the second option we have the symbol $\parallel $.
In the above symbol we can observe that there are two vertical lines which are not intersecting and there won’t be any intersection up to infinity. We can call this type of lines as Parallel lines in geometry.
Hence this symbol is used to represent parallel lines.
Considering the third option.
In the third option we have the symbol $\frown$.
In the above symbol we can observe that there are no vertical or horizontal lines. But we can observe that there is a line and that line is in bending shape which is like the arc shape.
Hence this symbol is used to represent the arc shape.
Considering the fourth option.
In the fourth option we have the symbol $\square $.
In the above symbol we can observe that there are four lines forming a closed loop or closed shape which is like the square.
Hence this symbol is used to represent the square shape.
From all the above options we can conclude that the symbol which is used to represent arc is $\frown$.

Note: There are so many symbols that we will use in geometry to represent various shapes. For example
$\Delta $ is used to represent a triangle.
$\bigcirc $ is used to represent a circle and so on.