Geometry Coordinate Proofs

Introduction of  Geometry Coordinate:

             A coordinate is a number that determines the location of a point along some line or curve. A list of two, three, or more coordinates can be used to determine the location of a point on a surface, volume, or higher-dimensional domain.

            For example, the longitude is a coordinate, which determines the position of a point along the Earth's equator, and latitude is another coordinate that defines a position along a meridian. The pair of coordinates consisting of latitude and a longitude determines a point on the surface of the Earth.

Geometry Coordinate Proofs Example:

In geometry, prove that the segment created by joining the midpoints of two sides of a triangle is parallel to the third side and has a distance end to end equal to half that of the third side.

                     

Solution:

            There may be a definite amount of doubt that the shape above is completely common. If we show that theorem for the above figure, have we actually proven it for all similar triangles? It would appear that this is a particular triangle, indeed, that has one side on the x-axis and one vertex at the origin in geometry

            The common formula for distance between two spots will allow us to determine the required length. The formula tells us that for any two spots (x₁,y₁) and (x₂,y₂) the length of the circle of segment between then.

Hope you liked the above explanation. Please leave your comments, if you have any doubts.