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Definition
1. the points on a line can be paired with the real numbers in such a way that any two points have coordinates 0 and 1 2. Once a coordinate system has been chosen in this way, the distance between any two points equals the absolute value of their coordinates |
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Segment Addition Postulate |
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Definition
If B is between A and C, then AB + BC = AC |
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Term
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Definition
On line AB in a given plane, choose any point O between A and B.Consider Rays OA and OB and all rays that can be drawn from O on one side of line AB.These rays can be paired with the 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 is paired with y, then the measures of angle POQ = |x-y| |
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Term
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Definition
If point B lies in the interior of <AOC, then m <AOB + m<BOC = m<AOC. If <AOC is a straight angle and B is any point on line AC, then m<AOB + m<BOC = 180 |
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Term
A line contains as least _?_ pts; a plane contains at least _?_ pts not on one line; space contains at least _?_ points not all in one plane |
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Definition
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Term
Through any two points there is... |
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Definition
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Term
Through any three points there is ..... Through any three noncollinear points there is......... |
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Definition
..at least one plane ....exactly one plane |
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Term
If two points lie in a plane, then ... |
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Definition
the line that contains them lies in the plane |
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Term
If two planes intersect, then their intersection is ...... |
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Definition
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If two lines intersect, then they intersect in .... |
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Definition
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Through a line and a point not in the line, there is |
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Definition
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Term
If two lines intersect, then .. |
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Definition
exactly one plane contains the lines |
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