Term
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Definition
The points on a line can be paired with the real numbers in such a way that any two points can have 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 their coordinates. |
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Term
| 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
| If point B lies in the interior of Angle AOC, then the mAngle AOB + mAngle BOC = mAngle AOC. If Angle AOC is a straight angle and B is any point not on line AC, then mAngle AOB + mAngle BOC = 180. |
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Term
| Postulate 5 (Don't call it this!) |
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Definition
| A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one plane. |
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Term
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Definition
| there is exactly one plane. |
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Term
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Definition
| there is at least one plane, and through any three noncollinear points there is exactly one plane. |
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Term
| If two points are in a plane, |
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Definition
| then the line that contains the points is in that plane. |
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Term
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Definition
| then their intersection is a line. |
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Term
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Definition
| then they intersect in exactly one point. |
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Term
| Through a line and a point not in the line |
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Definition
| there is exactly one plane. |
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Term
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Definition
| then exactly one plane contains the lines. |
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Term
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Definition
| Two angles in a plane that have a common vertex and a common side but no common interior points. |
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Term
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Definition
| The ray that divides the angle into two congruent adjacent angles. |
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Term
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Definition
| A line, segment, ray or plane that intersects a segment at its midpoint. |
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Term
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Definition
| Angles that have equal measures or segments that have equal lengths. |
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Term
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Definition
| The point that divides the segment into two congruent segments. |
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Term
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Definition
| An angle that measures 90 degrees. |
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