Another term is re-entrant polygon. Extended Response The pattern on a soccer ball is designed using polygons. ; C A polygon is convex if it contains one or more interior angles less than 1 8 0 ∘. There are 9 sides, so this is a nonagon. We may use the word concave to describe a nonconvex polygon (but not a nonconvex set of points). If a set is not convex it is termed nonconvex.A polygon is convex if and only if its corresponding polygonal region is convex. Name the polygon by its number of sides. The physics students needed to use a concave and a convex lens to see how each affected the light passing through it. Currently, what I have been attempting to do is: Take each point out of the polygon; Test the point to see if it falls within the polygon created by the rest of the set; If true remove the point; If false keep the point POLYGONS ASSIGNMENT Classify each of the following figures as concave polygon, convex polygon or not a polygon. A convex polygon has no angles that point inward, whereas a concave polygon makes something that looks like a cave, as Math is Fun nicely states, and where angles point toward the interior of the polygon. ; B A polygon is convex if all of the line segments drawn between two points, on or inside the polygon, are contained within the polygon. And a regular polygon is one that is both equilateral (all sides are congruent) and equiangular (all angles are congruent). Hence, regular polygons are never concave. A convex polygon has all its vertices, or corners, pointing out from the center, but a concave polygon looks like it has been caved in. A A polygon is convex if it contains one or more interior angles greater than 1 8 0 ∘. For example, The math teacher wanted the students to identify which polygons were concave. Names of Polygons The sides are not congruent, so it is irregular. You now see that polygons can be regular or irregular, convex or concave, and simple or complex. Answer: nonagon, concave, irregular Example 1b: (In a concave polygon, some diagonals will lie outside the polygon). ; D A polygon is convex if some of its vertices point “inward,” toward the center. An easy way to remember the difference between convex and concave polygons is to think of a polygon with a side caved or dented in. right A corollary of the Triangle Sum Theorem states that a triangle can contain no more than one _____ angle or obtuse angle. Concave Polygon, Convex Polygon. A line containing some of the sides will pass through the interior of the nonagon, so it is concave. 1) _____Convex_____ 2) _____Convex _____ 3) __ __Concave_____ 4) ____ Concave ____ 5. A Convex Polygon and a Concave Polygon are 2 different types of Polygons. So no interior angle is greater than 180°. 1) concave 2) convex 3) convex 4) concave State if each polygon is regular or not. In a Convex Polygon, all points/vertices on the edge of the shape point outwards. 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