What does it mean to classify the polygon?
Closed shapes or figures in a plane with three or more sides are called polygons. Alternatively, a polygon can be defined as a closed planar figure that is the union of a finite number of line segments. In this definition, you consider closed as an undefined term.
What is the importance of polygons?
Polygons are an important part in the education of students as they teach them how to make patterns, tessellations, how to use poly- gons to make other shapes, build on polygons to form 3D shapes and about symmetry.
What is polygon and how do we classify it?
Polygons are classified according to the number of sides or vertices they have. Diagonal of a polygon: A line segment connecting any two non-consecutive vertices is called the diagonal of a polygon.
What is the classification of the polygon according to convexity?
A convex polygon contains no interior angles greater than 180 degrees. An exterior angle is the angle formed by one side of a polygon and the extension of the adjacent side. Interior angles are the angles inside a figure. A regular polygon is a polygon with all sides the same length and all angles the same measure.
How do we describe regular polygons?
A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.
What did you learn about polygons?
We’ve learned that a polygon is a flat shape with straight sides. A regular polygon has all its sides and angles equal. An irregular polygon does not have all sides and angles equal. A convex polygon has all angles pointed outwards and less than 180 degrees.
What is polygon and classification of polygon?
Classifying Polygons. A polygon is any closed planar figure that is made entirely of line segments that intersect at their endpoints. Polygons can have any number of sides and angles, but the sides can never be curved. Diagonals are line segments that connect the vertices of a convex polygon that are not sides.
What are the characteristics of a regular polygon?
A regular polygon has equal length sides with equal angles between each side. Any other polygon is an irregular polygon, which by definition has unequal length sides and unequal angles between sides. Circles and shapes that include curves are not polygons – a polygon, by definition, is made up of straight lines.
How would you determine if the given figure is a polygon?
A polygon is a two-dimensional closed figure that has three or more straight sides. Any figure with straight edges, such as a triangle or rectangle, is a polygon. Figures that have any curved sides or open sides are not classed as polygons.
How important is regular polygons in our daily life?
We use polygons at almost every moment in our daily life from fruits to honey comb, from floor designs to rectangular or square shaped buildings. We daily see the traffic signals which can be rectangular, square or triangular in shape. So, we use polygons in our daily life almost at every moment.
What are the classifications of polygons?
In geometry, there are kinds of polygons which can be classified as the simplex or complex polygon, concave or convex polygon and regular or irregular polygon. There are many types in the regular polygons such as quadrilateral, pentagon, Hexagon , Heptagon , Octagon, Nonagon , Decagon etc.
What polygon has a right angle?
A rectangle is a special quadrilateral where opposite sides are congruent — that is, the same length — and each angle is a right angle. A square is also a special quadrilateral because all four sides are congruent and all four angles are right angles. They both are quadrilaterals (four sided polygons).
What is an example of a polygon?
A polygon is a plane shape (two-dimensional) with straight sides. Examples include triangles, quadrilaterals, pentagons, hexagons and so on.
Are all polygons a plane figure?
Polygons are plane figures with at least three straight sides and angles, and typically five or more. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. For example, a triangle has three sides, and a quadrilateral has four sides.