Points that lie on the same line are collinear points. Points and lines that lie in the same plane are coplanar. All the points of a line are coplanar.
What are two other ways to name
Two other ways to name
Why can figures have more than one name?
Lines and planes are made up of many points. You can choose any two points on a line and any three or more noncollinear points in a plane for the name.
What are two other ways to name plane P?
Two other ways to name plane P are plane RQV and plane RSV.
What are the names of three collinear points? What are the names of four coplanar points?
Points R, Q, and S are collinear. Points R, Q, S, and V are coplanar.
The terms point, line, and plane are not defined because their definitions would require terms that also need defining. You can, however, use undefined terms to define other terms. A geometric figure is a set of points. Space is the set of all points in three dimensions. Similarly, the definitions for segment and ray are based on points and lines.
Definition | How to Name It | Diagram |
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A segment is part of a line that consists of two endpoints and all points between them. | You can name a segment by its two endpoints, such as
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A ray is part of a line that consists of one endpoint and all the points of the line on one side of the endpoint. | You can name a ray by its endpoint and another point on the ray, such as
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Opposite rays are two rays that share the same endpoint and form a line. | You can name opposite rays by their shared endpoint and any other point on each ray, such as
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