6561992
Description
| Question | Answer |
| Counterexample | A specific example that shows a statement is false |
| Inductive reasoning | Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction |
| Conjecture | An educated guess based on known information |
| Conjunction | A compound statement formed by joining two or more statements with the word AND |
| Disjunction | A compound statement formed by joining two or more statements with the word OR |
| Law of detachment | If p->q is a true conditional and p is true then q is true |
| Law of syllogism | If p->q and q->r are true conditionals the p->r is also true |
| Reflexive P.O.E | a=a |
| Symmetric P.O.E | If a=b, then b=a |
| Transitive P.O.E | If a=b and b-c, then a=c |
| Addition P.O.E | If a=b, then a+c=b+c |
| Subtraction P.O.E | If a=b, then a-c=b-c |
| Multiplication P.O.E | If a=b, then ac=bc |
| Division P.O.E | If a=b and c=/0, then a/c=b/c |
| Communitive Property of Addition/Multiplication | a+b=b+a; ab=ba |
| Associative Property of Addition/Multiplication | (a+b)+c=a+(b+c); (ab)c=a(bc) |
| Additive Indentity | a+0=0+a=a |
| Multiplicative Identity | ax1=1xa=a |
| Additive Inverse | a+(-a)=0 |
| Multiplicative Inverse | ax1/a=1, when a=/ 0 |
| Multiplicative Property of Zero | ax0=0xa=0 |
| Distributive Property of Equality | a(b+c)=ab+ac; (a+b)c=ac+ab |
| Substitution Property of Equality | If a=b, then a may be replaced by b |
| Congruent Angles | Angles are congruent iff the angles have equal measures |
| Supplementary Angles | Two angles whose measures have a sum of 180 |
| Complementary Angles | Two angles whose measures have a sum of 90 |
| Vertical Angles | Two non-adjacent angles formed by two intersecting lines |
| Linear Pairs | Adjacent angles whose nonshared sides form opposite rays |
| Slope Intercept form | y=mx+b |
| Standard form | Ax+By=C |
| Point-Slope Form | y-y1= m(x-x1) |
| Parallel Postulate | Two non-vertical lines are parallel iff they have the same slope |
| Perpendicular Postulate | Two non-vertical lines are perpendicular iff the product of their slope is -1(their slopes are opposite recipricals) |
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