Search results
Among plane figures, it is important to distinguish between polygons and non-polygons. A polygon is a closed plane figure that is formed by line segments joined end-to-end . Non-polygons define the set of plane figures which have curved lines or which include unclosed lines.
Polygons are most commonly discussed plane shapes apart from circles. In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with at least three sides. It does not have curved sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices (or corners) of a polygon.
- Symmetry refers to the balanced arrangement of elements. Plane shapes can exhibit symmetry, such as line symmetry (mirror image) or rotational symm...
- Plane shapes have various applications in real life, including architecture and design (floor plans, blueprints), art (paintings, sculptures, tesse...
- Congruent shapes are identical in shape and size, while similar shapes have the same shape but can differ in size.
- Plane shapes are two-dimensional and can be considered as the faces of three-dimensional shapes. Three-dimensional shapes are composed of plane sha...
- A polygon is a two-dimensional plane shape with straight sides, while a polyhedron is a three-dimensional solid shape with flat polygonal faces, ed...
- The area of a plane shape refers to the measure of the space enclosed within its boundaries, while the perimeter is the total length of its boundar...
- Two plane shapes are similar if their corresponding angles are equal, and the ratios of their corresponding side lengths are proportional.
- Flat shapes and plane shapes refer to the same concept.Both terms are used interchangeably to describe two-dimensional figures that exist on a flat...
- What Are polygons?
- Polygon Shape
- Types of Polygon
- Angles of Polygon
- Properties
- Area and Perimeter Formulas
- Triangles
- Quadrilaterals
- Three Dimensional Shape
A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides). A minimum of three line segments is required to connect end to end, to make a closed figure. Thus a polygon with a minimum of three sides is known as Triangle and it is...
By definition, we know that the polygon is made up of line segments. Below are the shapes of some polygons that are enclosed by the different number of line segments.
Depending on the sides and angles, the polygons are classified into different types, namely: 1. Regular Polygon 2. Irregular Polygon 3. Convex Polygon 4. Concave polygon
As we know, any polygon has as many vertices as it has sides. Each corner has a certain measure of angles. These angles are categorized into two types namely interior angles andexterior angles of a polygon.
The properties of polygons are based on their sides and angles. 1. The sum of all the interior angles of an n-sided polygon is (n – 2) × 180°. 2. The number of diagonals in a polygon with n sides = n(n – 3)/2 3. The number of triangles formed by joining the diagonals from one corner of a polygon = n – 2 4. The measure of each interior angle of n-si...
The area and perimeter of different polygons are based on the sides. Area:Area is defined as the region covered by a polygon in a two-dimensional plane. Perimeter: Perimeter of a polygon is the total distance covered by the sides of a polygon. The formulas of area and perimeter for different polygons are given below: Let us see one of the frequentl...
A triangle is the simplest form of the polygon that has three sides and three vertices. The triangles are also classified into different types, based on the sides and angles.
A Quadrilateral is a polygon having a number of sides equal to four. That means a polygon is formed by enclosing four line segments such that they meet at each other at corners/vertices to make 4 angles. Like triangles, a quadrilateral is also classified with different types: 1. Square 2. Rectangle 3. Parallelogram 4. Rhombus 5. Trapezium The below...
A three-dimensional shape is a solid object that is formed by a combination of polygons and 2d shapes. Some of the 3d shapeswhich we can observe in real-life are: 1. These are the shapes that can be projected on a piece of paper but cannot be drawn on paper. These shapes are known as solids. 1. 3-D shapes have faces as the distinguishing feature. T...
Simple Polygon – A simple polygon has only one boundary. The sides of a simple polygon do not intersect. Complex Polygon – Complex polygon is a polygon whose sides cross over each other one or more times. Sum of Angles of a Polygon. 1. Sum of the interior angles of a polygon: Sum of the interior angles of a polygon with n sides = (n – 2 ...
Jun 30, 2024 · A square is a regular polygon. 2) A triangle has three diagonals. 3) Sum of exterior angles of a regular hexagon is 720° 4) A n-sided convex polygon has n (n - 3) 2 diagonals. 5) Right angled triangle is a regular polygon. 6) In convex polygon each angle is less than 180°. 7) A heptagon has eight sides. 8) Each interior angle of a nonagon is ...
Nov 29, 2018 · Polygons are further divided into various categories, depending upon the line segments they have. The different polygons having definite number of sides are given names according to the number of sides. (i) A polygon with three sides is called a triangle. or, A polygon having three line segments is called a triangle.
People also ask
Is a polygon a plane shape?
Does a polygon have curved sides?
What is a regular polygon?
What is a 3 sided polygon called?
What are the sides of a polygon called?
What is an example of a polygon?
If the plane cuts the cone parallel to the side of the cone, then a parabola is formed (centre). If the plane cuts the cone at an angle between these two, such that it maintains contact with the sides of the cone in all locations, then an ellipse is formed (bottom left).
