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Sellier Geometry
| Question | Answer |
|---|---|
| Postulate 1-1 | through any two points, there is exactly one line |
| postulate 1-2 | if two distinct lines intersect, then they intersect in exactly one point |
| postulate 1-3 | if two distinct planes intersect, they intersect in exactly one line |
| postulate 1-4 | through any three noncollinear points there is exactly one plane |
| Ruler Postulate | every point on a line can be paired with a real number. this makes a one-to-one correspondence between the points on the line and the real numbers |
| Segment addition postulate | if three points A, B, and C are collected and B is between A and C, then AB+BC=AC |
| protractor postulate | Consider line OB and a point on A on one side of OB. Every ray of the form OA can be paired one to one with a real number from 0 to 180 |
| Angle addition postulate | IF point B is in the interior of /_AOC, then m/_AOB +m/_BOC = m/_AOC |
| Linear pair postulate | if two angles form a linear pair, then they are supplementary |
| _I_ Lines —> Right Angles | _I_ Lines —> Right Angles |
| Law of Detachment | If the hypothesis of a true conditional is true, then the conclusion is true, in symbolic form: if p—>q is true and p is true, then q is true |
| Law of Syllogism | if p—>q is true and q—>r is true, then p—>r is true |
| Symmetric Property | if AB =~ CD, then CD=~ AB, if /_A=~/_B, then /_B=~/_A |
| Transitive Property | if A is congruent to B, and B is congruent to C, then A is congruent to C |
| Reflexive Property | AB is congruent to AB and Angle A is congruent to Angle A |
| Vertical Angles Theorem | Vertical angles are congruent |
| Congruent Supplements Theorem | if two angles are supplements of the same angle (or congruent angles), then the two angless are congruent |
| Congruent Complements Theorem | if two angles are complements of the same angle (or congruent angles), then the two angles are congruent |
| All Right angles are congruent | All right angles are congruent |
| If two angles are congruent and supplementary, then each is a right angle | If two angles are congruent and supplementary, then each is a right angle |
Created by:
TheGrandWolf