How can you identify and classify polygons ?
Here we are going to see how to identify and classify polygons.
A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons.
If the shape had curves or didn't fully connect, then it can't be called a polygon.
Number of sides |
Name of the shape |
3 |
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted. |
4 |
Quadrilateral : A quadrilateral is a four-sided polygon with four angles. There are many kinds of quadrilaterals. The five most common types are the parallelogram, the rectangle, the square, the trapezoid, and the rhombus. |
5 |
Pentagon : A pentagon is a closed and flat two-dimensional surfaced shape with five angles and five sides. The word pentagon itself tells you what it is. 'Penta' is the Greek word for five and 'gonia' is the Greek word for angle. |
6 |
Hexagon : A hexagon is a six sided polygon or 6-gon. The total of the internal angles of any hexagon is 720° |
8 |
Octagon : The octagon is also a type of polygon that has 8 sides as well as 8 angles. The octagon is composed of two words - octa and gonia. In which, octa refers to eight and gonia means angles. |
A closed geometric figure with four sides and four vertices is called a quadrilateral.
The sum of all the four angles of a quadrilateral is 360°
Parallelogram :
A quadrilateral in which the opposite sides are parallel is called a parallelogram
Rectangle :
A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal.
Square :
A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted ABCD
Rhombus :
A rhombus is a simple quadrilateral whose four sides all have the same length.
Trapezium :
Sides : One pair of opposite sides is parallel.
Angles : The angles at the ends of each non-parallel side are supplementary.
Diagonals : Diagonals need not be equal.
Isosceles trapezium :
Sides : One pair of opposite sides is parallel, the other pair of sides is equal in length.
Angles : The angles at the ends of each parallel side are equal.
Diagonals : Diagonals are equal in length.
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