Question

What is the meaning of the given symbol ($ \sim $) in triangle?
A) Congruent B) Similar to C) Different D) Angle

Answer 1

Hint: The given symbol is the symbol of similarity in triangles. It shows that one triangle is similar to another triangle which means they are the same in shape but not in size.

Complete step-by-step answer:
The given sign is$\left( \sim \right)$ .We have to find the meaning of this symbol in the triangle.
The name of this symbol is similarity symbol. It is used to represent the similarity between the triangles.
Similar triangles are triangles that are the same in shape but different in size. For example-

The I and II triangles in the above figure are the same in shape but different in size so they are similar triangles. We can write- Triangle I $ \sim $ triangle II
And we know that the symbol of congruent is $\left( \cong \right)$.It means that two triangles are congruent as their sides and angles are equal. The symbol of angle is $\left( \angle \right)$.It represents the angle one side of the triangle makes with the other side of the triangle. Different words do not have any symbol. It is a word that represents that triangles are different.
Hence the correct answer is “B”.
Note: Here, the student may get confused between the symbols of similarity and congruent symbol as they look somewhat the same. Similarly means that the shapes of two triangles are same but it is not necessary that the sides and angles of the triangles are also same. But congruent sign also has a sign of equal included in it which represents that not only the shapes are same but sides and angles are also same. This means congruent sign means that the triangles are the same in shape and size.So they are totally different.