There are 5 noncollinear points on a plane, how many different polygons can be formed?

Answers

answer:

5 diagonals

Step-by-step explanation:

For example, a pentagon (5 sides) has only 5 diagonals. Each vertex has two diagonals, so if you counted each diagonal from every vertex twice, you might think there were 10 diagonals.

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9 polygons

Step-by-step explanation:

Points A, B, C, D, E

Triangle (3 points)

ABC ACD. ADE

ABD. ACE

ABE

= 6 polygons

Square (4 points)

ABCD

BCDE

= 2 polygons

Pentagon (5 points)

ABCDE

= 1 polygon

6 + 2 + 1 = 9 polygons



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