Classified by Measuring the Sides
- Triangle: The three-sided polygon is known as the triangle.
- Quadrilateral: Any figure which is a closed four-sided figure is known as a quadrilateral.
- Pentagon: The closed figure which is formed by five straight lines is known as a pentagon.
- Hexagon: The six-sided polygon is known as a hexagon.
- Heptagon: The polygon with seven sides is termed as a heptagon.
What polygon has 9 sides?
n = 9. The polygon has 9 sides. It is a Nonagon. Hurry! We found it. The formula I mentioned can be derived. No. of sides = No. of vertices = n. Each diagonal joins two of the vertices. The no. of ways (n) vertices can be joined (two at a time) is nC2. But we are also including (n) sides by joining two vertices at a time.
How many sides does a polygon have?
A regular polygon has: Two dimensions Straight sides Congruent (equal-length) sides An interior and exterior Equal interior angles Equal exterior angles
What polygon has all sides and angles congruent?
The name of a polygon describes the number of sides. A polygon which has all sides mutually congruent and all angles mutually congruent is called a regular polygon. Click to see full answer. Keeping this in consideration, what is a congruent polygon?
What is polygon with 5 sides?
The examples of polygons are:
- Triangle (three-sided polygon)
- Quadrilateral (four-sided polygon)
- Pentagon (five-sided polygon)
- Hexagon (six-sided polygon)
- Heptagon (seven-sided polygon)
- Octagon (eight-sided polygon) and so forth.
What are the types of polygon and sides?
Types of Polygon With Sides 3 to 20Name of the PolygonsSidesVerticesTriangle (also called Trigon)33Quadrilateral (also called Tetragon)44Pentagon55Hexagon6615 more rows
What are the classification of polygons according to the number of sides?
A polygon is a closed figure made up of lines and angles. A polygon is classified by its number of sides.
What are the 3 kinds of polygons?
The different types of polygons are: Concave polygons (at least one of the interior angles is greater than 180°) Convex polygons (all the interior angles are less than 180° Regular polygons (all the sides and angles measure the same)
What are the 8 types of polygon?
A Polygon is classified based on its sides like a triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, and decagon according as it contains (3, 4, 5, 6, 7, 8, 9) and (10) sides, respectively. In this article, the various types of polygons with definition, their components etc., are discussed.
What are polygons classify the first ten polygons according to the number of sides?
Polygons are classified according to the number of sides or vertices they have....8. Decagon: Decagon is a polygon that has ten sides and ten vertices.Name of the polygonNumber of sidesNumber of verticesDodecagon\(12\)\(12\)9 more rows
What type of polygon has 12 sides?
dodecagonA dodecagon is a 12-sided polygon. Several special types of dodecagons are illustrated above. In particular, a dodecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular dodecagon.
What type of polygon has 4 sides?
quadrilateralDefinition: A quadrilateral is a polygon with 4 sides. A diagonal of a quadrilat- eral is a line segment whose end-points are opposite vertices of the quadrilateral.
What type of polygon has 10 sides?
In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, "ten angles") is a ten-sided polygon or 10-gon. The total sum of the interior angles of a simple decagon is 1440°.
What shape has 7 sides called?
heptagonA heptagon is a seven-sided polygon. It is also sometimes called a septagon, though this usage mixes a Latin prefix sept- (derived from septua-, meaning "seven") with the Greek suffix -gon (from gonia, meaning "angle"), and is therefore not recommended.
What is a 11 sided polygon called?
hendecagonA hendecagon is an 11-sided polygon, also variously known as an undecagon or unidecagon.
What is the name of 20 polygon?
icosagonPolygons: How Many Sides?3triangle, trigon17heptadecagon18octadecagon19enneadecagon20icosagon13 more rows
What do you call a polygon with 5 sides?
A pentagon is a polygon with 5 sides and 5 angles.
What are the sides of the polygon?
The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges. The point where two line segments meet is called vertex or corners, henceforth an angle is formed. An example of a polygon is a triangle with three sides.
What do you call a polygon with 4 sides?
Definition: A quadrilateral is a polygon with 4 sides. A diagonal of a quadrilat- eral is a line segment whose end-points are opposite vertices of the quadrilateral. In picture below, ABCD is a quadrilateral, AC, BD are the two diagonals.
How do you classify polygons in terms of convexity angles and number of sides?
A polygon is a simple closed figure with at least three straight sides. A concave polygon has at least one interior angle greater than 180 degrees. A common way to identify a concave polygon is to look for a "caved-in" side of the polygon. A convex polygon contains no interior angles greater than 180 degrees.
What do you call a polygon with 5 sides?
A pentagon is a polygon with 5 sides and 5 angles.
How many sides can a polygon have?
Following is a long list of polygon names with the number of sides they have and an example picture. Remember that polygons start at only three sides but can go on for infinity. There is no limit to how many sides a polygon can have!
What are the prefixes for polygons?
As for their names, polygons have very straightforward names for the first ten or twenty names. They use a basic prefix naming system. Di, tri, tetra, penta, and so on. We are familiar with these prefixes as they are used in a variety of mathematical—and even scientific—subjects.
What are the names of the 997 sides of a polygon?
When you think of a polygon, you may think of basic shapes you may have learned of in school. A square, a rectangle—maybe even a parallelogram. But have you ever heard of a hectogon? What about a nonahectanonacontakaiheptagon? You probably might not have even read the whole word. This is the name for a polygon with 997 sides. Or, you could simply call it a 997-gon. This is how we classify the more complicated names. They are written as a variable: n-gon. You can replace the n with any number you like!
What is a 2D shape with a certain number of sides?
Polygons are 2D shapes that have a certain number of sides. Their sides are simply joined by straight lines. Another thing to note is that polygons do not have holes, nor do they intersect with themselves. As for the number of sides, they could go on for infinity. When you think of a polygon, you may think of basic shapes you may have learned ...
What are the sides of a polygon called?
The straight lines that make the Polygon are known as Polygon’s sides or edges. At the same time, the corner or the point where any two sides meet is called the vertex of the Polygon. On the number of sides and angles, Polygons are classified into different types. A three-sided Polygon is a triangle, and a four-sided Polygon is a quadrilateral etc.
What are the two types of polygons?
Ans: There are two Types of Polygons classified based on their side lengths are, 1. Regular Polygons: A Regular Polygon is a Polygon that is both equiangular and equilateral. Examples: Equilateral Triangle and Square. 2. Irregular Polygons: Irregular Polygons are polygons that are not regular.
What is the sum of all the exterior angles in any polygon taken in order?
4. The sum of all the exterior angles in any polygon taken in order is 360o
What are the straight lines that form a polygon called?
The straight lines those forms the Polygon are called Polygon’s edges or sides. And, the corner or the point where any two sides meet is called the vertex of the Polygon. Based on the number of sides and angles, polygons are classified into different types. Some of the different types of Polygons based on the number of sides ...
What is a polygon made of?
A Polygon is made up of only straight lines. Each straight line in a Polygon is called its side. A Polygon is classified based on its sides like a triangle, quadrilateral, pentagon, hexagon, heptagon, Octagon, nonagon, and decagon according as it contains 3, 4, 5, 6, 7, 8, 9 and 10 sides, respectively.
What is a quadrilateral?
The quadrilateral is a four-sided polygon or a quadrangle. The different types of quadrilateral Polygon are square, rectangle, rhombus, parallelogram and kite.The sum of the interior angle of a quadrilateral is 360o.
What is a three sided polygon?
A three-sided Polygon is a triangle, and a four-sided Polygon is a quadrilateral etc. This article helps to learn in detail about the types of Polygons based on their number of sides. Learn the Concepts of Area of a Polygon.
What are the different types of polygons?
Following lists the different types of polygons and the number of sides that they have: A triangle is a three-sided polygon. A quadrilateral is a four-sided polygon. A pentagon is a five-sided polygon. A hexagon is a six-sided polygon. A heptagon is a seven-sided polygon. An octagon is an eight-side d polygon.
What is a closed shape or figure in a plane with three or more sides?
Login to rate activities and track progress. Polygons are closed shapes or figures in a plane with three or more sides. Polygons are classified by how many sides they have. Following lists the different types of polygons and the number of sides that they have: A triangle is a three-sided polygon .
What is a three sided polygon called?
We also came across the classification of polygons based on the number of sides. A three-sided polygon is called a triangle; a four-sided polygon is a quadrilateral; a five-sided polygon is a pentagon; a six-sided polygon is a hexagon, etc. One can easily classify the polygon studied in this article by looking at the number of sides.
What is a Polygon?
A polygon is a simple closed curve made up of straight-line segments only.
How many sides does the Pentagon have?
3. Pentagon: Pentagon is a five- sided polygon. A pentagon is a figure obtained by joining the points of five-line segments in the same plane.
What is the smallest polygon?
1. Triangle: A triangle is a polygon with three sides. It is the smallest polygon. They are further classified into different categories, such as:
What is the sum of the interior angle of a pentagon?
The sum of the interior angle of a pentagon is 540 ∘.
What is a quadrilateral?
2. Quadrilateral: The quadrilateral is a four-sided polygon or a quadrangle.
What is the name of the number of sides of a polygon?
Most polygons have a special name corresponding to the number of sides (quadrilateral-4 sides, pentagon-5 sides, hexagon, 6 sides, etc) or they can just be called an n -gon, where n corresponds to the number of sides (3-gon, 4-gon, 5-gon, etc). What about a circle? Is a circle considered a polygon?
How many sides can a polygon have?
According to Euclidean geometry, the smallest possible number of sides a polygon can have is 3. It takes at least 3 straight lines to enclose some area of space. Therefore, the triangle is the absolute simplest possible polygon in Euclidean geometry. Most polygons have a special name corresponding to the number of sides (quadrilateral-4 sides, pentagon-5 sides, hexagon, 6 sides, etc) or they can just be called an n -gon, where n corresponds to the number of sides (3-gon, 4-gon, 5-gon, etc).
What are the lines of a polygon called?
All polygons can be broken down into parts. The individual line segments are called the edges or sides and the points where the edges meet are called vertices (sing. vertex). The area enclosed by a polygon is called the body. A diagonal of a polygon is any line segment that can be drawn to connect two nonadjacent vertices.
How many degrees are there in a square?
So, a square has interior angles that sum to 360 degrees ( (4−2)×180), the interior angles of a hexagon sum to 720 degrees ( (6−2)×180). This formula falls out of the fact that any simple polygon can be divided into n− 2 triangles, each of which has interior angles that sum to 180 degrees (or pi radians). For any regular polygon, the measure and each interior angle is just the sum of the interior angles divided by the number of sides. So each angle of a regular triangle is 60 degrees (180/3), each angle of a regular pentagon is 108 degrees (540/5) and each angle of a 7-gon (heptagon) is 128.57 degrees.
What is the difference between a regular and irregular polygon?
Polygons are also classified according to their symmetries. A regular polygon is one in which all sides are equal length and all angles are of equal magnitude. An irregular polygon is one in which the sides and angles are unequal measures. For example, a square is a regular quadrilateral.
What is a self intersecting polygon?
Polygons are also differentiated as self-intersecting or simple. A self-intersecting polygon has at least one pair of lines that intersect. In contrast, a simple polygon has lines that do not intersect each other. Self-intersecting polygons are sometimes called complex polygons. They can be somewhat tough to imagine. Imagine an elastic simple polygon that is picked up and twisted so that some of its sides cross each other. For example, a rectangle would turn in to a bowtie-like shape. In a self-intersecting polygon, the intersection of the lines does NOT create a new vertex or a new interior angle. The bowtie shape made form the square still has 4 interior angles and 4 vertices.
What is the difference between a convex and a concave polygon?
A convex polygon is any polygon whose interior angles are all less than 180 degrees. This means that every diagonal of a convex polygon will fall inside the area enclosed by the shape. In contrast, a concave polygon is any polygon that has at least one angle whose measure is greater than 180 degrees.