Term
| Postulate 1: Ruler Postulate |
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Definition
The points on a line can be paired in a one-to-one correspondence with the real numbers such that:
1. Any two given points can have coordinates 0 and 1
2. The distance between two points is the absolute value of the difference of their coordinates. |
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Term
| Postulate 2: Segment Addition Postulate |
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Definition
| If B is between A and C, the AB + BC = AC |
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Term
| Postulate 3: Protractor Postulate |
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Definition
<-> -> ->
Given a point X on PR, consider rays XP and XR,
as well as all the other rays that can be drawn
<->
with x as an endpoint, on one side of PR. These rays can be paired with the real numbers from 0 to 180 such that:
-> ->
1.XP is paired with 0, and XR is paired with 180
-> ->
2. If XA is paired with a number c and XB is paired with a number d then m/_AXB = \c-d\. |
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Term
| Postulate 4: The Angle Addition Postulate |
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Definition
If point D is in the interior of /_ ABC, then m/_ ABD+m/_DBC = m/_ ABC
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Term
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Definition
| Through any two points there is exactly one line. |
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Term
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Definition
| Through any three noncollinear points there exists exactly one plane. |
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Term
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Definition
If two planes intersect, then their intersection is a
<->
line. Planes M and N intersect at AB. |
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Term
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Definition
| If two points line on a plane, then the line containing the points lies in the plane. |
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Term
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Definition
| A line contains at least 2 points. A plane contains at least 3 noncollinear points. Space contains at least 4 noncoplanar points. |
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Term
| Postulate 10: The Parallel Postulate |
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Definition
| Through a point not on a line, there exists exactly one line through the point that is parallel to the line. |
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