Geometry 1.1 - Undefined Terms

What does geometry mean? It means "to measure the Earth" or "Earth measure." However, we can simply look at geometry in a more simple way as the study of figures or shapes.

Some basic terms in geometry can be described and others cannot.

Undefined Terms:

Point: A point shows location and has no size or dimension. A point is represented by a dot and is usually named with a letter of choice. In the graphic below, the points are labelled by a nearby letter.

Line: A line is a set of points extends in two opposite directions without end. A line is one-dimensional and has no width. It is identified by naming two points on the line or by writing a lowercase letter of choice after the line.

The notation, for example, AB (written with a line symbol <---> over the letters), is read as "line AB" and refers to the line that has points A and B.

Plane: A plane is a flat surface that has no thickness and extends without ending in ALL directions. It is a two-dimensional object. A plane is represented by a parallelogram and may be named by writing an uppercase letter of choice in one of its corners. I will go into detail about what a parallelogram is in future lessons. For now, think of a parallelogram as a "window pane."For simplicity, you might want to think of a plane as an infinitely large sheet of paper.

The diagram below shows three points, a line, and a plane.

Points, Lines, and Planes

End of lesson one. Look for my next lesson titled Defined Terms.

By Mr. Feliz
(c) 2007

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