Geometry
About this set
Created by:
drakegomer on October 9, 2012
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Description:
math
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29 terms
Terms | Definitions |
|---|---|
 Postulate 1-1 | Through any two points there is exactly one line |
| Postulate 1-2 | If two lines intersect, then they intersect in exactly one point |
| Postulate 1-3 | if two planes intersect, then they intersect in exactly one line |
| Postulate 1-4 | Through any three noncollinear points there is exactly one plane |
| Collinear | points that lie on the same line |
| Coplanar | points that lie on the same plane |
| Congruent | having the same size and shape |
| Midpoint | a point that divides a segment into two congruent segments |
| Pythagorean Theorem | a²+b²=c² |
| Midpoint Theorem | If M is the midpoint of segment AB, then AM=1/2AB and MB=1/2AB |
| Properties | statements that are true for any numbers |
| Addition Property | if a=b, then a+c=b+c |
| subtraction property | if a=b, then a-c=b-c |
| Multiplication property | if a=b, then ac=bc |
| Division Property | if a=b and c≠0, then a/c=b/c |
| Reflexive Property | a=a |
| Symmetric Property | if a=b, then b=a |
| Transitive Property | If a=b and b=c, then a=c |
| Substitution Property | If a=b, then a can be substituted for b in any equation or expression |
| Right angle | the 90 degree angle between two perpendicular lines |
| Acute angle | an angle less than 90 degrees but more than 0 degrees |
| Obtuse Angle | an angle between 90 and 180 degrees |
| Straight Angle | an angle of 180 degrees |
| Segment Addition Postulate | If B is between A and C, then AB+BC=AC |
| Angle Addition Postulate | if point B lies in the interior of <AOC then m<AOB+m<BOC=m<AOC |
| Supplementary | sum of angles that equals 180 degrees |
| complementary | sum of angles that equals 90 degrees |
| Law of Detachment | if p ➡ q is a true conditional statement and p is true, than q is true |
| Law of Syllogism | if p ➡q and q➡r are true conditional statements then p➡r is true |
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