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Lawson Geo Ch 2
Geometry Ch 2 Reasoning and Proof
| Question | Answer |
|---|---|
| Conjecture | An educated guess based on known information or observing a pattern |
| Counterexample | An example used to show that a given statement is not always true |
| Hypothesis | The phrase immediately following the word if in a conditional statement. |
| Conclusion | The phrase immediately following the word then in a conditional statement |
| Law of Detachment | (1) If a student attends BBC, then the student has an ID number. (2) Joel attends BBC. (3) Joel has an ID number. |
| Law of Syllogism | (1) If a student attends BBC, then the student has an ID number. (2) If a student has an ID number, then they can check out library books. (3) If a student attends BBC, then they can check out library books. |
| Reflexive Property | AB=AB |
| Symmetric Property | If a=b, then b=a. |
| Transitive Property | If AB=CD and CD=EF, then AB =EF. |
| Substitution Property | If a=b, then a may be replaced by b in any equation or expression. |
| Distributive Property | a(b+c)=ab+ac |
| Supplement Theorem | If <1 and <2 form a linear pair, then m<1 + m<2 = 180. |
| Complement Theorem | If the noncommon sides of two adjacemt angles form a right angle, then the angles are complementary angles. |
| If m<1 + m<2 = 180 and m<2 + m<3 = 180, then <1 = <2. | Angles supplementary to the same angle or to congruent angles are congruent. |
| One Line | Through any two points, there is exactly_____ |
| One Plane | Through any three points not on the same line, there is exactly _________ |
| Two points | A line contains at least ________ |
| Three points | A plane contains at least ___________ not on the same line. |
| One Point | If two lines intersect, then their intersection is exactly ______________ |
| A Line | If two planes intersect, then their intersection is _________ |
Created by:
ang2lawson
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