Answer:
Given n collinear points, 2(n -1) or 2n - 2 rays can be named
Step-by-step explanation:
When we talk of collinear points, we mean points that lie on the same straight line.
For 3 collinear points we can have 4 rays
For 4 collinear points, let’s say ABCD
A B C D
The rays are AB BA BC CB CD and DC making a total of 6
For 5 collinear points,
A B C D E
The rays are;
AB BA BC CB CD DC DE ED which makes a total of 8
For 6 collinear points, we have;
A B C D E F
The rays are;
AB BA BC CB CD DC DE ED FE EF which makes a total of 10
So what pattern do we notice?
3 points 4 rays
4 points 6 rays
5 points 8 rays
6 points 10 rays
7 points 12 rays
So using the pattern
n rays = 2n - 2 rays or simply 2(n - 1) rays
