Question

Define vertex.

Answer 1

Hint: For solving this question you should know about the vertex. A vertex is the starting point or origin of the angle. The vertex is a point where two rays merge. In this problem we have to define this and we have to explain everything about a vertex by which it will be clear as to what a vertex really is and where it is situated.

Complete step-by-step solution:
According to the question, it is asked of us to define the vertex. We see that an angle is always made up of a vertex, if the vertex is not there, then the angle will not be there too. It means that for the existence of any angle, it is mandatory for a vertex to be there. So, we can directly say that a vertex always exists if any angle is formed and if any vertex is there, then an angle will always exist and we can measure it with the help of instruments. So, a vertex is the starting point or the origin of the angle. It means the point where the angle is formed is known as the vertex. The two rays which make an angle merge from this vertex and the merging of that rays becomes a point and that point is known as the vertex. An angle formed by two rays sharing a common endpoint, the vertex. As we see it in a diagram as given below:

Here, x is the point where the two rays P and Q are merging or we can say the origin of these are from x and thus x is known as the vertex.

Note: While solving this question you should be able to explain it well or you should have a good knowledge of vertex. And you can define an angle much clearly because both the angle $\theta $ and the vertex x depend on each other.