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21 Cards in this Set
- Front
- Back
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Postulate 1 |
Ruler; You can't have a negative distance, start at 0, go to -3, you traveled 3 |
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Postulate 2 |
Segment addition; If B is between A and C, then AB+BC=AC |
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Postulate 3 |
Protractor; if we have an angle, you can take a protractor and build it in there |
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Postulate 4 |
Angle addition; measure of angle AOB + measure of BOC = the measure of AOC |
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Postulate 5 |
A line contains at least 2 points, a plane contains at least 3 points not all in one line, space contains at least 4 points not all in one plane |
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Postulate 6 |
Through any 2 points there is exactly one line |
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Postulate 7 |
Through any 3 points there is at least one plane, and through any 3 non- collinear points there is exactly one plane |
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Postulate 8 |
If 2 points are in a plane then the line that contains the points is in that plane |
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Postulate 9 |
If 2 planes intersect, their intersection is a line |
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Theorem 1-1 |
If two lines intersect, then they intersect in exactly one point |
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Theorem 1-2 |
Through a line and a point not in the line there is exactly one plane |
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Theorem 1-3 |
If two lines intersect then exactly one plane contains the lines |
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Addition property |
a=b c=d then a+c=b+d |
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Subtraction property |
a=b c=d then a-c=b-d |
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Multiplication property |
a>b then ca=cb |
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Division property |
a=b, c does not = 0, then a/c>b/d |
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Substitution propety |
a=b then either a or b may be substituted for the other in any equation/inequality |
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Reflexive |
a=a |
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Symmetric |
a=b then b=a |
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Transitive |
a=b, b=c, then a=c |
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Distributive |
a(b+c)=ab+ac |
