Showing posts with label irregular geometric shapes. Show all posts
Showing posts with label irregular geometric shapes. Show all posts

Monday, 16 April 2012

Regular/irregular geometric shapes

In the geometrical mathematics, we all are very well aware that it is a collection of several kinds of shapes and figures. These figures and shapes are very helpful in solving various kinds of problem that are related to our daily routine life. In geometry, these shapes and figures are categorized into different category according to their properties like quadrilateral, circle, and polygons and so on. Here we are going to discussing about the geometrical shape 'polygon'. The concept of polygon helps the school's student to understand the geometrical concept very well. (know more about cbse latest sample papers , here)
Polygon is a geometrical shape which comes from the Greek word. Polygon word formed by the combination of two words, 'poly' which mean is “many” and 'gon' which mean is “angle”. A polygon is a shape that is drawn on the 2-D plane with help of straight lines or sides. In the simple mean we can say that polygon is the two dimensional shapes. These shapes are formed by straight lines and the shape is closed. It means that in this shape all the lines are connect to each other. In the polygon, according to the property of geometrical shape we can categorize the polygon into the following manner:
A) simplex or complex
B) Concave or convex
C)
Regular geometric shapes or irregular geometric shapes
Here we are going to discussing about the regular and irregular shape.
Regular geometric shapes are those shapes in which all the existing angles are equal and all the sides are equal. In the same aspect we can say that those figures whose existing angles and shapes are not equal in measure then these shapes are consider as a
Irregular geometric shapes. In the case of regular, equilateral triangle is the one of the best example because this triangle is made up of three straight sides, it is closed in shape and all the angles and sides are equal to each other. In the next session we are going to discuss Grade VII, Geometric concepts and In the next session we will discuss about Properties of 2-d and 3-d figures

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.