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Question

Define the following:
(i) Point
(ii) Line
(iii) Line segment
(iv) Ray
(v) Angle
(vi)Plane
(vii) Parallel Line
(viii) Intersecting Lines
(ix) Vertex

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Solution

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"

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.
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.

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.

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

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


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.


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


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



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