A polygon is simple if and only if its vertices are distinct and its edges intersect only at common endpoints. We emphasize that the vertices of a non-simple polygon need not be distinct, and two edges of a non- simple polygon may overlap or even coincide [26, 37].
Q. What special word is used to describe a polygon?
Answer. In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
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Q. What are five characteristics of polygons?
When working with polygons the main properties which are important are:
- The number of sides of the shape.
- The angles between the sides of the shape.
- The length of the sides of the shape.
Q. What is a polygon describe in your own words what a polygon is?
A polygon is a closed shape with straight sides. Rectangles, triangles, hexagons, and octagons are all examples of polygons. The word polygon comes from the Greeks, like most terms in geometry, which they invented. It simply means many (poly) angles (gon).
Q. Are all polygons closed?
A polygon is a closed plane figure with three or more sides that are all straight. The following figure is not a polygon as it is not a closed figure. A circle is not a polygon as it does not have straight sides.
Q. What angles are in a polygon?
Method 2
- The sum of interior angles in a triangle is 180°.
- The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides.
- All the interior angles in a regular polygon are equal.
- The sum of exterior angles of a polygon is 360°.
Q. How do you find the missing angle of a polygon?
Correct answer: Explanation: To find the angle of any regular polygon you find the number of sides , which in this example is . You then subtract from the number of sides yielding . Take and multiply it by degrees to yield a total number of degrees in the regular nonagon.
