Geometry for Elementary School/Lines

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Geometry for Elementary School
Points Lines Constructing equilateral triangle

Contents

[edit] Lines

A line is as wide as a point, infinitely thin, having an infinite number of points, (in a straight row), extending forever in both the directions. Any two lines can intersect at only a single point.

Geom lines lines 01.png
Geom lines lines 02.png

[edit] Line segments

A line segment is a part of a line, which has two endpoints. The endpoints give the line segment a fixed, or finite length.

Geom lines seg 01.png
Geom lines seg 02.png

Line segments A B, and C D, can be written as \overline{AB} , and \overline{CD}

Geom lines seg 03.png
Geom lines seg 04.png
Geom lines seg 05.png
Geom lines seg 06.png

[edit] Rays

A ray is a line that has only one endpoint. A ray is infinite in one direction.

Geom lines ray 02.png

[edit] Axiom: there is only a single straight line between two points

Axiom: there is only a single straight line between two points.

Geom lines axiom 1.png
Geom lines axiom 2.png
  • show by halving that there are infinite number of points in a line
  • show that the number of points in a long line and a short line is equal
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