Question

What is the common end where the two rays meet called?
(a) arm
(b) vertex
(c) ray
(d) line

Answer 1

Hint: Recall the definition and properties of a ray. The name given to the common endpoint where the two rays meet is usually the name given to the corners of a polygon too.

Complete step-by-step answer:
In geometry, a line is a straight one-dimensional object that has no thickness and extends infinitely in both directions.
A line segment is a part of a line that has a fixed starting point and an endpoint and is of fixed length.
In geometry, a ray can be defined as a part of a line that has a fixed starting point but no endpoint. It can extend infinitely in one direction.
A ray does not have a fixed length but it does have a fixed initial point from where it originates.
Rays are used to represent angles. When two rays meet they form an angle. The point where the two rays intersect, which is also their starting point, is called the vertex.
The angle is formed by two rays, both of which are called the arms of the angle.
Therefore, the common end where the two rays meet is called the vertex.
Hence, the correct answer is option (b).

Note: You may choose arm as the right answer thinking it is where the two rays meet but arms are the rays itself that make an angle, it does not point to the common endpoint. Hence, the arm is not the correct answer.