Kite: Two pairs of adjacent sides are of equal length the shape has an axis of symmetry.Į. Parallelogram: Opposite sides are parallel, opposite sides are equal in length, opposite angles are equalĭ. A square: A quadrilateral whose 4 sides are equal and four angles are all 90 degrees each.Ĭ. A quadrilateral is a regular polygon with four angles and four sides. A triangle: An equilateral triangle is a regular polygon with three equal side lengths and three equal angles.There are different types of regular polygons. Types of Polygonsĭepending on the sides and angles, the polygons are classified into different types, namely,Ī regular polygon is a polygon in which all the interior angles are equal, and also, all the sides are equal. Now that you have understood what a polygon is let us explore the different polygons and how they look. The concept of polygons was generalized in 1952 by Geoffrey Colin. Thomas Bradwardine was the first known person to study non-convex polygons in the 14 th century. Greeks studied non-convex regular polygon in 7 th century BC on a krater by Aristophanes. Polygons were known to human beings since ancient times. Note: Circles, three-dimensional objects, any shapes that include curves, and any shapes that aren’t closed are not polygons. In simple words, polygons are plain figures or shapes made up of line segments only. The most common examples of polygons are the triangle, the rectangle, and the square. The term polygon originates from the Greek word “poly -” meaning “many” and “- gon,” meaning “angles.” In mathematics, a polygon is a closed two-dimensional figure made up of line segments but not curves. What polygons are, and how do they look like.A pizza slice is triangular in shape, hence, a polygon. You see a wall, which is rectangular in shape, is a polygon.Ī front view of a dice, which has a square shape, is a polygon. You can instead use a formula for the sum ss of the interior angles.Have you heard about a polygon? Well, polygons are all around us! Most of the common shapes that you see or study every day are polygons. Interior Angles Of Polygons Quadrilateral Interior Angles of Polygons Finding the sum of interior anglesĮach triangle adds to 180°, so one way to find the sum of interior angles is to count the number of dividing triangles: The interior angles of polygons are the vertices, or inside corners, created by endpoints of line segments.Ĭonnecting all the vertices inside a simple polygon without crossing any lines creates triangles. Do you notice how all the sides and angles are the same no matter how you flip it? Interior angles of polygons
What Is A Regular Polygon Definition Stop Sign Types of regular polygonsĪ triangle that has all sides and angles the same is called an equilateral triangle, or regular triangle.Ī quadrilateral that has all sides and angles the same is called a square, or regular quadrilateral.Ī pentagon that has all sides and angles the same is known as a regular pentagon.Īn n -gon that has all sides and angles the same is called a regular n-gon.Ĭheck out these regular polygons. No matter which way you're looking at a regular polygon, you wouldn't be able to tell which way is up because the angles and sides are all the same. A stop sign is an example of a regular polygon with eight equal sides. Next time you're in a car, take a closer look at a stop sign. A regular polygon is where all sides are the same length, and all angles are also all the same. Let's take a closer look at regular polygons. Complex polygons have self-intersecting sides!Īn irregular polygon does not have congruent sides and interior angles.Ī regular polygon has congruent sides and interior angles. A concave polygon has one interior angle greater than 180°.Ī simple polygon encloses a single interior space (boundary) and does not have self-intersecting sides. Polygons Types of polygonsĪ convex polygon has no interior angle greater than 180° (it has no inward-pointing sides). Let's take a look at the vast array of shapes that are polygons. Most mathematics students, teachers, professors, and mathematicians use n-gon for any polygon with more than 12 sides and angles. You can also use a shorthand, like this: 19-gon, 23-gon.
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