Sunday, October 6, 2013

Basic geometry

Basic geometry is the study of points, lines, angles, surfaces, and solids.The study of this topic starts with an understanding of these. Let's define them.




Point: A point is a location in space. It is represented by a dot. Point are usually named with a upper case letter. For example, we refer to the following as "point A"

point-image

Line: A line is a collection of points that extend forever. The following is a line. The two arrows are used to show that it extends forever.

line-image

We put two points in order to name the line as line AF. However, there are an infinite amount of points. You can also name it line FA

Line segment: A line segment is part of a line. The following is a segment. A segment has two endpoints. The endpoints in the following segments are A and F. Notice also that the line above has no endpoints.

segment-image

Ray: A ray is a collection of points that begin at one point (an endpoint) and extend forever on one direction. The following is a ray.

ray-image

Angle: Two rays with the same endpoint is an angle. The following is an angle.

angle-image

Plane: A plane is a flat surface like a piece of paper. It extends in all directions. We can use arrows to show that it extends in all directions forever. The following is a plane

plane-image

Parallel lines When two lines never meet in space or on a plane no matter how long we extend them, we say that they are parallel lines The following lines are parallel.

Parallel-line-image

Intersecting lines: When lines meet in space or on a plane, we say that they are intersecting lines The following are intersecting lines.

Intersecting-line-image

Vertex: The point where two rays meet is called a vertex. In the angle above, point A is a vertex.

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