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14 Cards in this Set
- Front
- Back
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Point |
-indicates a location -has no size -has no shape
How do you represent a point? With a dot
How do you name a point? With a single capital letter Ex (Point) B |
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Line |
-no width/thickness -contains infinitely many points -does not end (goes on forever)
How do you represent a line? With a straight path that extends infinitely in 2 opposite directions
How do you name a line? You can name a line by using any two points (capital letters) on the line Write two points and place a line connected to arrows above Or with a single lowercase letter Ex: (line) t |
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Plane |
-no thickness -contains an infinite amount of lines/points
How is a plane represented? By a flat surface that extends infinitely in all directions
How do you name a plane? Using a single capital letter Ex (plane) P Or by using at least three points located in the plane that do not all lie on the same line -Two points out of the three can be on the same line -All three of them cannot be on the same line Ex (Plane) ABC |
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Colinear |
points that lie on the same line |
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Coplanar |
points that lie on the same plane |
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Noncoplanar |
points that do not lie on the same plane |
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Line Segment (Segment) |
Part of a line that consists of two endpoints and all the points between them (May contain infinitely many points) How do you name a segment? By writing its two endpoints under a segment symbol -A segment symbol is a line without arrows |
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Ray |
A part of a line that consists of one endpoint, that extends infinitely in one direction (May contain infinitely many points) How to name a ray Step 1: Write the endpoint Step 2: Write another point that is a part of the ray Step 3: Draw a ray symbol on top of the points -A ray symbol is a line with one arrow (on the right) Note: The order of the points are listed is important as the order of points indicates the ray's direction. |
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Opposite Rays |
Two rays that share the same endpoint and form a line. How to name opposite rays Step 1: List the shared endpoint Step 2: List another point found on the ray Step 3: Draw a ray symbol above |
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Postulate (Axiom) |
a rule that is accepted without proof (evidence) |
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Postulate 1.1 |
Through any two points there is exactly one line (2 points = 1 line) |
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Postulate 1.2 |
If two distinct lines intersect, then they intersect in exactly one point.
(2 lines intersect at one point) |
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Postulate 1.3 |
If two distinct planes intersect, then they intersect in exactly one line. (2 planes intersect at a line) |
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Postulate 1.4 |
Through any three noncollinear points there is exactly one plane. (3 noncollinear points = 1 plane) |
