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15 Cards in this Set
- Front
- Back
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postulate 1: ruler postulate
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The points on a line can be paired with real numbers in such a way that any two points can have the coordinates 0 and 1. Once a coordinate system has been chosen in this way, the distance between any two points equals the absolute value of the difference of the coordinates.
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postulate 2: Segment addition postulate
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The segments of lines can be added.
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postulate 3: Protractor postulate
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On AB in a given plane, choose any point O Between A and B. Consider OA and OB the rays that can be drawn from O on one side of AB. These rays can be paired with real numbers from 0 to 180 in such a way that (1) OA is paired with 0, and OB with 180 (2). If OP is paired with x and OQ with y, then POQ = |x-y|
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postulate 1: ruler postulate
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The points on a line can be paired with real numbers in such a way that any two points can have the coordinates 0 and 1. Once a coordinate system has been chosen in this way, the distance between any two points equals the absolute value of the difference of the coordinates.
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postulate 2: Segment addition postulate
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The segments of lines can be added.
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postulate 3: Protractor postulate
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On AB in a given plane, choose any point O Between A and B. Consider OA and OB the rays that can be drawn from O on one side of AB. These rays can be paired with real numbers from 0 to 180 in such a way that (1) OA is paired with 0, and OB with 180 (2). If OP is paired with x and OQ with y, then POQ = |x-y|
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postulate 4: Angle addition postulate
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angles can be added
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Postulate 5:
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A line contains at least two points, a plane contains at least 3 non-collinear, and space contains at least four non-coplanar points.
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Postulate 6:
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Through any two points there is exactly 1 line
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Postulate 7:
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Through any 3 points there is exactly 1 plane, and through any 3 non-collinear points there is exactly 1 plane
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Postulate 8:
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If 2 points are in a plane, then the line that contains those 2 points is also in that plane
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Postulate 9:
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If two planes intersect, then their intersection is a line
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Theorem 1-1:
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If 2 lines intersect, then they intersect in exactly 1 point
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Theorem 1-2:
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Through a line and a point not in the line, there is exactly 1 plane
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Theorem 1-3:
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If 2 lines intersect, then exactly 1 plane contains the lines
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