SOLUTION: What is a polygon? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each

Question 186272: What is a polygon? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

In geometry a polygon is a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments (i.e., by a closed polygonal chain). The word "polygon" derives from the Greek πολύς ("many") and γωνία (gōnia), meaning "knee" or "angle". Today a polygon is more usually understood in terms of sides.

As to your second question, the phrase 'the difference between' refers to the comparison between two things. Therefore, your list of three things actually asks to make three comparisons.

The difference between an equiangular polygon and an equilateral polygon: Nothing, given that the two polygons being compared have the same number of sides.

The difference between an equiangular polygon and a regular polygon: Nothing, given that the two polygons being compared have the same number of sides.

And finally, The difference between an equilateral polygon and a regular polygon: Nothing, given that the two polygons being compared have the same number of sides.

I'll let you discover your own set of examples.

John

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