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Foundations of Geo Thms & Post
Begining Theorems and Postulates
12
Mathematics
10th Grade
07/31/2012

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Cards

Term
Ruler Postulate
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
Term
Segment Addition Postulate
Definition
If B is between A and C, then AB + BC = AC
Term
Protractor Postulate
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|
Term
Angle Addition Postulate
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
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
Definition
2 3 4
Term
Through any two points there is...
Definition
exactly one line
Term
Through any three points there is ..... Through any three noncollinear points there is.........
Definition
..at least one plane ....exactly one plane
Term
If two points lie in a plane, then ...
Definition
the line that contains them lies in the plane
Term
If two planes intersect, then their intersection is ......
Definition
a line
Term
If two lines intersect, then they intersect in ....
Definition
exactly one point
Term
Through a line and a point not in the line, there is
Definition
exactly one plane
Term
If two lines intersect, then ..
Definition
exactly one plane contains the lines
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