How is the number of vertices related to the number of sides of the polygon and to the type of polygon? Give two examples.

1 answer:

8 0

Well,

Take a triangle. It has three vertices and three sides. The three vertices dictate that there will be three sides. The same rule applies for a quadrilateral (four vertices and sides), a pentagon (five vertices and sides), etc. So the number of vertices in a polygon is equal to the number of sides in the same polygon.

Taking this a step further, since the number of vertices are equal to the number of sides, we can conclude that a polygon with three vertices is a triangle, a polygon with four vertices is a quadrilateral, a polygon with five vertices is a pentagon, etc.

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Answer:

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Step-by-step explanation:

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On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

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Answer:

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