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 _________ |