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### 12 Cards in this Set

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 Postulate 1 Ruler Postulate 1) The points on a line can be paired with real numbers in such a way that any 2 points can have coordinates 0 and 1 2) Once a coordinate system has been chosen in this way, the distance between any 2 points equals the absolute value of the difference of their coordinates Postulate 2 Segment Addition Postulate If B is between A and C, then AB + BC = AC Postulate 3 Protactor Postulate On line AB in a given plane, choose any point O between A&B. Consider ray OA&OB&all the rays that can be drawn from O on one side of line AB. These rays can be paired w/real numbers from 0 to 180 in such a way that: a) Line OA is paired w/0 & line OB w/180 b) If ray OP is paired w/x and ray OP w/y, then m∠POQ = |x-y| Postulate 4 Angle Addition Postulate If point B lies in interior of point AOC, then m∠AOB + m∠BOC = m∠AOC If angle AOC is a straight angle and B is any point not on line AC, then m∠AOB + m∠BOC = 180 Postulate 5 - line contains at least 2 points - plane contains at least 3 points not all in one line - space contains at least 4 points not all in on plane Postulate 6 Through any 2 points there is exactly 1 line Postulate 7 - through any 3 points there is at least 1 plane - through any 3 noncollinear points there is exactly 1 plane Postulate 8 If 2 points are in a plane, then the line that contains those points is in that plane Postulate 9 If 2 planes intersect, then their intersection is a line Theorem 1-1 If 2 lines intersect, then they intersect at exactly 1 point Theorem 1-2 Through a line and a point, there is exactly 1 plane Theorem 1-3 If 2 lines intersect, exactly 1 plane contains the lines