Friday, July 9, 2010

Geometrical Objects

Let Us Learn About Geometrical Objects

Point

A point is the most fundamental object in geometry. It is represented by a dot and named by a capital letter. A point represents position only; it has zero size

Line

A line can be thought of as connected set of infinitely many points. It extends infinitely far in two opposite directions. A line has infinite length, zero width, and zero height. Any two points on the line name it. The symbol ↔written on top of two letters is used to denote that line. A line may also be named by one small letter

Collinear points

Points that are lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are non-collinear points.

Plane

A plane has an infinite set of points forming a connected flat surface extending infinitely far in all directions. A plane has infinite length, width, and zero height (or thickness). It is usually represented in drawings by a four-sided. A single capital letter is used to denote a plane. The word plane is written with the letter so as not to be confused with a point

Postulates:

Postulate 1: A line contains at least two points.

Postulate 2: A plane has at least three non-collinear points with it.

Postulate 3: If we cross through any two points, there is exactly one line.

Postulate 4: If we cross through any three non-collinear points, there is exactly one plane.

Postulate 5: If two points lie in a plane, then the line joining them lies in that plane.

Postulate 6: If two planes intersect with each other, then their intersection is a line.



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