Saturday 21 January 2012

Understand Regular and Irregular Shapes in Geometry

Hello Friends, Earlier we have discussed about analytic geometry problems and in today's session we all are going to discuss about some of the most interesting topics of mathematics regular and irregular geometric shapes which are usually studied in Grade VII of tamilnadu education board. Here I am going to tell you the best way of understanding these topics.
Now start with basics about geometry and you can refer Internet for further geometry help:
Geometry is the basic about the point, lines, angle, area, volume etc and to learn it we should keep some points in our mind like a point is represented as a dot in a plane, a line is described as the collection of points, a line does not have any end point, a line segment is a part of line that has two end points, a ray is defined as a line which starts from a point and extends in a direction forever, when two rays start from same point then they form an angle between them, plane can be defined as a flat surface that extends forever.
Now we start with the regular geometric shapes. Regular geometric shapes are those which have predefined dimensions and predefined angles.There are many regular geometric shapes which are as follows:(Learn more about geometry here),
1.    Triangle: A polygon having three sides and sum of the angles is 180 degrees.
2.    Equilateral triangle: A triangle with sides equal in length and all angles are 60 degrees.
3.    Right triangle: An angle measures 90 degrees.
4.    Quadrilateral: A polygon with four sides and sum of the angles is 360 degrees.
5.    Rectangle: A polygon with four sides with all right angles
6.    Square: A polygon with four sides with equal sides and intersects each other at right angles.
7.    Parallelogram: A polygon with four sides with two pairs of parallel sides.
8.    Rhombus:A polygon with four sides with all equal sides and sum of the angles is 360 degrees.
9.    Trapezoid: A polygon with four sides with one pair of parallel sides. The parallel sides are known as the bases of the trapezoid and sum of the angles is 360 degrees.
10. Pentagon: A polygon with five sides and sum of the angles is 540 degrees.
11. Hexagon: A polygon with six sides and sum of the angles is 720 degrees.
12. Circle: A circle is the collection of points in 2D plane having equal distance from a fixed point known center and a line segment joining the center to any point on the circle is known as radius.
There are many more regular geometric shapes like Isosceles triangle, scalene triangle, acute triangle, obtuse triangle, heptagon, octagon, nonagon, decagon, convex.
Now move to the irregular geometric shapes. Irregular geometric shapes are those which do not have predefined dimensions and angles and are constructed using different regular geometric shapes. To calculate area of irregular geometric shapes, the first thing to do is break the irregular shape into regular shapes that can be identified individually as triangles, rectangles, circles, squares etc.
From the above discussion we can understand the basics about the regular and irregular geometric shapes and if anybody needs more about these Geometric concepts they can refer to internet and their text books.Read more maths topics of different grades such as Graph and Slope of Lines in Grade VIII in the next session here.

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