Term
Postulate 1
Ruler Postulate |
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Definition
1) The point on the line can be paired with the ral numbers in such a way that any two points can have coordinares 0 and 1.
2) Once a coordinare system has been chosen in this way, the distance between any two points equals 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, then AB BC = AC. |
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Term
Postulate 3
Protractor Postulate |
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Definition
On segment AB in a give plane, choose any point O betweem A and B. Consider ray OA and ray OB and all the rays that can be drawn from O on one side of segment AB. These can be paired with real numbers from 0 to 180 in such a way that:
a. Ray OA is paired with 0, and ray OB with 180.
b. If ray OP is paired with x, and ray OQ with y, then measured angle POQ = |x - y| |
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Term
Postulate 4
Angle Addition Postulate |
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Definition
1) If point B lies in the interior of angle AOC, then measured angle AOB measured angle BOC = measured angle AOC.
2) If angle AOC is a straight angle and B is any point not on segment AC, then measured angle AOB measured angle BOC = measured angle AOC. |
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Term
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Definition
| A line contains at least two points |
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Term
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Definition
| Though any two points there is exactly one line. |
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Term
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Definition
| Though any three points there is at least one plane, and though any three noncollinear points there is exactly one plane. |
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Term
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Definition
| If two points are in a plane, then the line that contains the points is in that plane. |
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Term
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Definition
| If two points intersect, then their intersection is a line. |
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Term
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Definition
| If two lines intersect, then they intersect in exactly one point. |
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Term
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Definition
| Through a line and a point not in the line there is exactly one plane. |
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Term
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Definition
| If two lines intersect, then exactly one plain contains the line. |
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