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Intersection

Lines

 

A line is one of the basic terms in geometry. We may think of a line as a "straight" line that we might draw with a ruler on a piece of paper, except that in geometry, a line extends forever in both directions. We write the name of a line passing through two different points A and B as "line AB" or as AB, the two-headed arrow over AB signifying a line passing through points A and B.

 

Example: The following is a diagram of two lines: line AB and line HG.

 

 

The arrows signify that the lines drawn extend indefinitely in each direction.

 

 

Points

 

A point is one of the basic terms in geometry. We may think of a point as a "dot" on a piece of paper. We identify this point with a number or letter. A point has no length or width, it just specifies an exact location.

 

Example: The following is a diagram of points A, B, C, and Q:

 

 

Intersection

 

The term intersect is used when lines, rays, line segments or figures meet, that is, they share a common point. The point they share is called the point of intersection. We say that these figures intersect.

 

Example: In the diagram below, line AB and line GH intersect at point D:

 

 

Example: In the diagram below, line 1 intersects the square at points M and N:

 

 

Example: In the diagram below, line 2 intersects the circle at point P:

 

 




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