Question

The common end point where 2 rays meet is known as
A) Arms
B) Vertex
C) Ray
D) 0

Answer 1

Hint: In this question, we are given to find the point where two rays meet. Therefore, we should first understand what rays are and then understand the definition and name of where two rays meet to obtain the answer to this question.
Complete step-by-step answer:
A ray is defined to be a part of a line which has a fixed starting point but no end point. Thus, there is a fixed point where it starts but extends upto infinity from the starting point.
Now, if two rays start from a given fixed point, then those rays should make an angle between them. Looking at the options, option (A) cannot be correct as the arms of an angle correspond to the lines forming its sides and not the point at the beginning. Therefore, option (A) is not correct……………….(1.1)
Option (C) is a ray, however, as we are considering the common end points of two rays, the answer cannot be ray itself and thus option (C) cannot be correct…………………..(1.2)
O is generally used to denote a point while drawing diagrams, however we can name a point by any name we like and maybe with a name different from O. Therefore, option (D) cannot be correct……..(1.3)
However, a vertex is defined as the end point where two rays meet and thus should be the correct answer…………..(1.4)

Thus, from (1.1), (1.2), (1.3) and (1.4), we find that option (B) vertex should be the correct answer.

Note: We should note that the answer was obtained to be option (B) by carefully analyzing all other options and finding them not to be true. Thus, we should not just give the answer as vertex without proving that the other options are actually not correct and thus cannot be the answer.