state of each polygon is concave or convex

1) concave 2) convex 3) convex 4) concave State if each polygon is regular or not. Then classify it as convex or concave, regular or irregular. 5) not regular 6) regular In the case of a convex polygon, it is easy enough to see, however, how triangulating the polygon will lead to a formula for its centroid. POLYGONS ASSIGNMENT Classify each of the following figures as concave polygon, convex polygon or not a polygon. ; D A polygon is convex if some of its vertices point “inward,” toward the center. Answer: nonagon, concave, irregular Example 1b: The sum of the measures of the exterior angles of a polygon with n sides is: (n - 2) × 180 6. (In a concave polygon, some diagonals will lie outside the polygon). And a regular polygon is one that is both equilateral (all sides are congruent) and equiangular (all angles are congruent). A A polygon is convex if it contains one or more interior angles greater than 1 8 0 ∘. We may use the word concave to describe a nonconvex polygon (but not a nonconvex set of points). A line containing some of the sides will pass through the interior of the nonagon, so it is concave. There are 9 sides, so this is a nonagon. For example, The math teacher wanted the students to identify which polygons were concave. You now see that polygons can be regular or irregular, convex or concave, and simple or complex. 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. ; C A polygon is convex if it contains one or more interior angles less than 1 8 0 ∘. ; 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. Another term is re-entrant polygon. 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. Within mathematics, concave refers to a polygon that has one or more interior angles greater than 180 degrees. 1) _____Convex_____ 2) _____Convex _____ 3) __ __Concave_____ 4) ____ Concave ____ 5. Extended Response The pattern on a soccer ball is designed using polygons. A Convex Polygon and a Concave Polygon are 2 different types of Polygons. 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. I would like to deconstruct the following polygon shown in blue removing all of the points from the polygon that cause concavity. The sides are not congruent, so it is irregular. Concave Polygon, Convex Polygon. In a Convex Polygon, all points/vertices on the edge of the shape point outwards. So no interior angle is greater than 180°. The Polygon Exterior Angle sum Theorem states that the sum of the measures of the exterior angles, one angle at each vertex, of a convex polygon is _____. Hence, regular polygons are never concave. If a set is not convex it is termed nonconvex.A polygon is convex if and only if its corresponding polygonal region is convex. 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 The physics students needed to use a concave and a convex lens to see how each affected the light passing through it. Name the polygon by its number of sides. Names of Polygons right A corollary of the Triangle Sum Theorem states that a triangle can contain no more than one _____ angle or obtuse angle. To deconstruct the following figures as concave polygon are 2 different types of polygons Hence, regular irregular. 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