Practical Geometry


Geometry is the branch of Mathematics in which we deal with different types of shapes. The concept begins with a point. We define point as a dot made with the help of a sharp object. A point is always denoted by a capital letter of English alphabets, example: .A, .J, .T are a few points on the plane.

When we join a number of points on a plane, we get a line. A line can be defined as a length which extends infinitely in both directions & has an endless number of points on it. We can draw a line by joining any two points on a plane & adding arrows on both sides to denote that the line extends infinitely in both the directions. Since the two points that are joined to get a line are denoted by two different letters, these letters give the name to the line, example,

 P and Q are the two points on the plane. When we join them, we get the line P ←-------------------------→Q & this is written as ↔. A line has no end points & no fixed length.

 Next concept is line segment. Segment means a part, thus a line segment is a part of a line. It has two fixed ends & also has a fixed length. The length of a line segment is given by the distance between the two points that are joined to get the line segment. Example: if we have two points, A.  & .B which are 5 inches apart, the length of the line segment that we get by joining these two points is 5 inches. A.______________.B is the line segment AB & is written as AB.

These line segments form the basis of studying the different shapes in geometry.

We also study perimeter, area & volume in practical geometry. Perimeter is the total boundary of a figure. It is measured in units of length & is calculated by adding the length of all sides of the figure.

Area, on the other hand, is the region enclosed by a figure. It is measured in square units & includes the boundary of the figure.

Volume means the total quantity of a liquid that can be filled in a solid. In other words, capacity of a solid shape to hold liquid in itself is known as volume. Its unit of measure is cubic units.

All these are the basic concepts of geometry & form the base of moving to the higher concepts.

Math Topics