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24 Cards in this Set
- Front
- Back
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Postulate 1 UNIQUE LINE POSTULATE
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Through two distinct points, there is exactly one line.
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Postulate 2
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A line contains at least two distinct points
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Postulate 3 UNIQUE PLANE POSTULATE
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Through three no collinear points, there is exactly one plane
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Postulate 4
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A plane contains at least three noncollinear points
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Postulate 5
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If two distinct points lie in a plane then the line joining them lies in that plane
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Postulate 6
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If two distinct planes intersect then their intersection is a line
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Postulate 7
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The points on a line can be paired, one-to-one, with the real numbers so that any point is paired with 0 and another point is paired with 1.
The real number that corresponds to a point is the coordinate of that point. The distance between two points on the line is equal to the absolute value of the difference of their coordinates. |
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Postulate 8
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If point c is between points a and b then ac+cb=ab
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Postulate 7-ruler postulate
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The points on a line can be paired, one-to-one, with the real numbers so that any point is paired with 0 and another point is paired with 1.
The real number that corresponds to a point is the coordinate of that point. The distance between two points on the line is equal to the absolute value of the difference of their coordinates. |
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Postulate 8-segment addition postulate
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If point c is between points a and b then ac+cb=ab
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Postulate 9 Protractor postulate
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Let O be on a point on line AB such that O is between A and B. Consider Ray OA, Ray OB and all the 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 so that
1. Ray OA is paired with 0 and Ray OB is paired with 180. 2. If Ray OP is paired with x and Ray OQ is paired with y, then the number is paired with <POQ is |x-y|. This number is called the measure or the degree measure of <POQ. |
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Angle addition postulate
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If point B is in the interior of <AOC then the measure of <AOB + the measure of <BOC = the measure of <AOC
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Linear pair postulate
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If two angles form a linear pair, then they are supplementary.
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Linear pair postulate
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If two angles form a linear pair, then they are supplementary.
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Opposite Rays
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Ray BA and Ray BC are opposite Rays if point B is between points A and points C
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Linear pair postulate
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If two angles form a linear pair, then they are supplementary.
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Opposite Rays
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Ray BA and Ray BC are opposite Rays if point B is between points A and points C
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Complementary angles
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Two angles whose measures have a sum of 90 degrees
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Supplementary angles
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Two angles whose measures have a sum of 180 degrees
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Adjacent angles
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Two angles in the same plane that share a common side and common vertex
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Adjacent angles
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Two angles in the same plane that share a common side and common vertex
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Linear pair
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Two adjacent angles whose noncommon sides are opposite Rays
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Congruent angles
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Angles that are equal in measure
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Angles bisector
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The Ray that divides the angle into 2 congruent angles
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