Any shape that includes a curve is not a polygon.Polygons are made with straight sides or lines.All polygons have a 2D shape (closing in a space).Regular polygons’ exterior angles are always equal in measure.įollowing are the main properties of polygons based on their shapes, sizes, angles, vertices, and types:.The sum of an exterior angle and its corresponding interior angle is always equal to 180°.By definition, an angle formed by one of the sides of a polygon and the extension of its adjacent side is known as an exterior angle of a polygon. The exterior angles are always formed on the outside of a polygon. Mainly the angles of the polygons are categorized into two types:Īny of the two given methods calculates the sum of all interior angles of a polygon: Note: a few polygon rules do not work on the complex polygon.įor Example: antiparallelogram, star, etc. Such polygons are also known as self-intersecting polygons. Its lines do not cross over each other.Ī polygon whose sides cross over or intersect each other is called a complex polygon. Simple PolygonĪny polygon with only one boundary is called a simple polygon. Its vertices are mostly outwards and are exactly opposite of the concave polygon. Convex PolygonĪ polygon will be of convex type if all internal angles are less than 180 degrees. Hint: concave has a cave in it means its internal angle will always be greater than 180°. Concave PolygonĪ polygon with inward and outward vertices, one or more interior angles of more than 180 degrees, is a concave polygon. They are primarily in the shape of a pentagon, hexagon, or a different shape compared to the regular polygon.įor Example: a rectangle, scalene triangle, kite, etc. Irregular PolygonĪ polygon is of irregular type if its sides and interior angles are different in measure. However, the name of the polygon will surely change or differ.Ī polygon is regular if all sides and interior angles are equal.įor Example: equilateral triangle, square, etc. The sides of polygons are not limited, and they could have 3 sides, 11 sides, 44 sides, or more. Moreover, the line segments are called edges or sides. ’A polygon comprises many straight-line segments, and the points where these line segments meet are called corners or vertices, making an angle. It’s a combination of two words, which means ‘many sides. Open shapes or curved ones don’t make a polygon. Polygon comes from the Greek language, in which Poly means ‘many’ and -gon means ‘angle.’ Definition of PolygonsĪny close two-dimensional shape or plane figure formed with straight line segments is known as a polygon. Before we start learning, here is some interesting information for you. In this blog post, you will learn everything about polygons, such as their mathematical definition, shapes, types, properties, real-life examples, other examples, and many more things in detail. However, there are plenty of common and uncommon polygon shapes we see and experience without even knowing. Triangle with three sides is the most common example of a polygon. Polygon is a 2D (two-dimensional) geometric figure constructed with straight lines having a finite number of sides. Learning to design interior and exterior angles of polygons is one of the most daunting tasks for students during geometry class: teachers and private math tutors say so.
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