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Math > Geometry > Tools of Geometry

 

Tools of Geometry

Introduction to Geometry

In geometry a point is usually represented by a dot and labeled with a letter such as A or B. Points are used to name lines, and segments.

Words

Diagram

Symbols

A line extends without end in two opposite directions.

or

A ray has one endpoint and extends without end in one direction.

A segment has two endpoints.

or

Example: From the diagram, identify the line, ray, or segment using words.

Then name it using symbols.

a.

b.

c.

Solution: a. The figure is a ray and is represented by .

b. The figure is a segment and is represented by or .

c. The figure is a line and is represented by or .

A plane is a flat surface that extends without end. You can represent a plane by a figure that looks like a floor or a wall. Two different lines in a plane will either be parallel or intersect . Parallel lines never meet. Intersecting lines meet at a point.

 

 

Example: a. Which lines are intersecting?

b. Which lines are parallel?

Solution: a. and intersect at point B.

and intersect at point A.

b. and are parallel.

 

 


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