Question

Ruchi is writing with a fountain pen for the first time. When she is about to start writing, four drops of ink fall on her sheet. She joins the dots to form a line, as shown in figure. Can you identify the different rays formed thus?

Answer 1

Hint: We are given a figure and we are required to find rays in that figure. For that we need to be first aware about the definition of a ray. We will look at each point one by one so that we don’t miss any of the rays that might be present in the picture.

Complete step by step answer:
In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction. On its way to infinity, a ray may pass through more than one point. When naming a ray, it is denoted by drawing a small ray on top of the name of the ray.
Here, we have a lot of rays that can be seen. We start from point P:
As we can see that there is no ray, only line and line segments.
Starting from point Q:
\[\overrightarrow{QP},\overrightarrow{QS}\] are the rays.
Starting from point R:
\[\overrightarrow{RP},\overrightarrow{RS}\] are the rays.
Starting from point S:
There are no rays, only line and line segments.
So, there are four rays here.

Note: Make sure that you are finding the rays of line and not a line segment. In geometry, a line segment is a part of a line that is bounded by two distinct endpoints, and contains every point on the line that is between its endpoints. You might get confused between a line ray and a line segment and you might end up finding the wrong solution to this problem. So, you should take care of this.