Question

Some points are plotted on a plane such that any three of them are noncollinear. Each point is joined with all remaining points by line segments. Find the number of points if the number of line segments is 10.

A. 3
B. 4
C. 5
D. 6

Answer 1

To find the number of points in a polygon when given the number of line segments, we can use the formula n(n-1)/2, where n is the number of points. In this case, the number of points is 5.

Step-by-step explanation:

To find the number of points, we need to determine the number of vertices of the polygon formed by connecting all the points with line segments. The formula to calculate the number of vertices of a polygon is n(n-1)/2, where n is the number of points. In this case, we have 10 line segments, so n(n-1)/2 = 10. By trial and error, we find that n=5 is the solution. Therefore, the number of points is 5.