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2D shapes like Circle, Triangles and Polygons

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Topic: – 2D shapes like Circle, Triangles and Polygons

 

In mathematics, the concept of 2D and 3D shapes are used for explaining the different types of shapes such as triangle, circle, rectangle, quadrilateral, octagon etc. However, all the shapes which have sides are considered as the polygons. Eclipse is considered as the non-polygon as it does not have edges. Now, let us discuss some of the 2D shapes.

1.  Circle

A circle is a closed figure in which distance from the centre point is equal to the outer line, and that distance is called radius (r). A circle doesn’t have corners, it only has curved sides.

  • Circle: –A circle is a 2D Shape in which locus of all points is equidistant from a central point.

 

 

 

Centre Point of Circle

 

 

  • Radius: –Any line which is originated from the centre of the circle to any point on the circle is denoted as radius of the circle which is represented by letter “r”.Using radius of circle one can easily find out the area of a circle with the use of formula πr2.

 

 

 

 

 

 

  • Diameter: –The diameter of the circle is denoted by “d”.The straight line which is connected with two points of the circle through the centre point. One can use “d=2r” formula for calculation of the diameter of the circle.

 

 

 

2.  Triangle

It is a 3-sided polygon which has 3 edges and 3 vertices and the sum of all the 3 angles is equal to 1800.

 

 

 

 

 

 

 

3.  Square

It has 4 sides of equal length and making 900 angles with each other. Moreover, diagonals of a square bisect each other at 900 angles. It is also known as a 4-sided polygon and two-dimensional regular quadrilateral.

4.  Rectangle

It has 4 sides whose opposites sides are equal and parallel to each other. In a rectangle, all angles are at 900.

 

5.  Pentagon

It is a 5 sided polygon with regular and irregular shape and has 5 diagonals. However, in a regular pentagon shape, the exterior angles are 720 and interior angles are equal to 1080.

6.  Octagon

It is an 8 sided regular and irregular shapes. The sum of all the angles of Octagon is 10800. There are 8 angles in the Octagon image.

 

 

 

 

 

 

 

 

 

Properties of 2D shapes

 

2D Shapes

Circle

 

 

Rectangle
Triangle

 

Hexagonal
Octagonal
Parallelogram
Rhombus
Trapezium

 

Square
2D Shapes Properties

Diameter is constant and RadiusThe symmetry of circle goes through the centre and Infinite axes——————————-
2 equal sides and sets900 four anglesTwo axes of symmetry
Can have no 2 or 3 equal sidesCan have no 2 or 4 equal anglesCan have up to 2 axes of symmetry
6 sides6 angles6 axes of symmetry
8 sides8 angles8 axes of symmetry
2 sets of equal sides2 sets of equal anglesNo axes of symmetry
All sides are the same2 sets of 2 equal angles2 lines of symmetry
At least 2 parallel sidesCan have a pair of equal anglesCan have a line of symmetry
4 equal sides4 equal angles (900)4 axes of symmetry

 

 

Quiz

 

  1. A number of vertices in the square?
  2. 6
  3. 7
  4. 4
  5. 8

 

Answer:- 4, is the correct answer because the square has 4 points where the line meets with each other, or one can say that 4 corners.

 

  1. Determine the shape which is shown below:-
  2. Trapezium
  3. Square
  4. Rectangle
  5. Triangle

Answer:-Triangle, is the correct answer because triangle has 3 edges and 3 vertices.

  1. Determine the number of sides that a square has?
  2. 3
  3. 2
  4. 4
  5. 8

Answer:- 4, is the correct answer.

 

  1. A number of vertices in Hexagon?
  2. 8
  3. 6
  4. 5
  5. 7

Answer:-6, is the correct answer because hexagon is a 6-sided two-dimensional shape.

 

  1. What is the shape of an image which is shown below?
  2. Pentagon
  3. Rhombus
  4. Circle
  5. Hexagon

Answer:- Rhombus, is the correct answer because rhombus has 4 equal straight sides and its shape also looks like a diamond.

 

  1. Which 2D shape has 3 sides?
  2. Hexagon
  3. Triangle
  4. Pentagon
  5. Octagon

Answer:-Triangle, is the correct answer because Triangle has 3 edges and 3 vertices as shown in the image below.

 

  1. What is the diameter of a circle, if the radius of the circle is 5 inches?
  2. 10 inches
  3. 5 inches
  4. 15 inches
  5. 20 inches

Answer:- 10 inches, is the correct answer because

Radius, r = 5

The formula for calculation of diameter is, d = 2r

Therefore, d = 2 x 5 è10

 

  1. Vertices are _____________.
  2. Corners
  3. Faces
  4. Edges
  5. Angles

Answer:-Corners, is the correct answer because vertex is the point where two points mean.

 

  1. Name the shape having 6 vertices?
  2. Pentagon
  3. Rhombus
  4. Octagon
  5. Hexagon

Answer:-Hexagon, is the correct answer because hexagon has 6 sides.

 

  1. Select a 2D shape from the following shape
  2. Cone
  3. Pentagon
  4. Cube
  5. Cylinder

Answer:- Pentagon, is the correct answer because Cone, Cube and Cylinder are 3D shapes.

  Remember! This is just a sample.

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