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Basic Geometry Concepts

Geometry is a form of mathematics concerned with the properties and relationships of points, lines, curves, surfaces, solids and higher dimensional objects. That may sound complicated, but it can be quite easy to understand. Start with the following definitions and examples. Then move on to the other geometry activities.

 
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Other Math Activities:

Geometry Home Page

Math Reference Library Home Page



1. Plane: A flat surface that extends endlessly in all the directions is called a Plane.

Geometry

2. Point: An exact location on a plane is called as a Point.

A point is represented by a dot and is named using capital letters.

Example:

Point A, B and Q are represented in a given plane.

Geometry

3. Line segment: The shortest path between two points is called a Line segment.

Example:

There can be many ways from 'A' to 'B', as shown in the figure, but the shortest way is the straight path which joins A and B.

Geometry

Straight path from A to B is called the line segment AB and is denoted as Geometry.

A and B are called the end points of the line segment AB.

4. Straight line: A line segment that extends endlessly on both sides is called a straight line or simply a line.

You cannot draw a line on a paper, but represent it as shown below.

Example:

Geometry

Arrows indicate that the line extends endlessly in both the directions.
The above straight line is denoted as Geometry .

5. Ray: A line segment that extends endlessly on any one of the sides is called a ray.

Example:

Geometry

Here, 'A' is called the end point or the initial point.
The ray above is denoted as Geometry.

6. Curve: A line that is not straight is called as curve.

Example:

Geometry

7. Closed curve: A curve, which starts and ends at the same point is called a closed curve.

Example:

Geometry

8. Open curve: A curve that is not closed is called an open curve.

Example:

Geometry

9. Parallel lines: Lines that do not cross each other, at any point are called parallel lines.

Example:

Geometry

 
 
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