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11 Cards in this Set
- Front
- Back
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Point line plane postulate Unique line assumption |
Through any two points there is exactly one line |
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Point line plane postulate Number line assumption |
Every line is a set of points that can be put into a one-to-one correspondence with the real numbers, with any point on it corresponding to 0 and any other point corresponding to 1 |
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Point line plane Dimension assumption |
(1) given a line in a plane, there is at least one point in the plane that is not on the line
(2) given a plane in space, there is at least one point in space that is not in the given plane |
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Line intersection theorem |
Two different lines intersect in at most one point |
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Parallel lines definition |
Two coplanar lines m and n are parallel lines, written //, if and only if they have no points in common or they are identical |
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Line segment definition |
Segment with endpoints A and B, denoted AB (with line above letters), is the set consisting of the distinct points A and B and all the points between A and B |
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Ray definition |
The ray with endpoint A and containing a second point B, denoted AB (with an arrow above the letters), consists of the points on AB and all points for which B is between each of them and A |
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Opposite rays definition |
AB ray and AC ray are opposite rays if and only if A is between B and C |
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Distance Postulate Uniqueness property assumption |
On a line, there is a unique distance between two points |
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Distance postulate Distance formula assumption |
If two points on a line have coordinates x and y, the distance between them is |x-y| |
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Distance postulate Additive property assumption |
If B is on line AC, then AB + BC = AC |
