| Term | Definition |
|---|
| conditional statement | An if, then statement is a... |
| if, then statement | A Conditional Statement is an... |
| hypothesis | the thing that follows the if |
| conclusion | the thing that follows the then |
| converse | Switches the hypothesis and the conclusion. ex. If you live in Florida, then you live in Lox. |
| converse | Q to P |
| negation | The _____ of a statement has the opposite truth value. |
| Conditional | If you live in Lox., then you live in Fl. |
| Converse | If you live in Florida, then you live in Lox. |
| Inverse | If you do not live in Lox., then you do not live in Fl. |
| Contrapositive | if you do not live in Fl, then you do not live in Lox. |
| equivalent statements | have the same truth value. |
| Biconditionals | " if and only if" |
| Biconditional | When the conditional and its converse are both true, you can combine them as a true ____. |
| deductive reasoning | The process of reasoning logically from given statements to a conclusion. |
| Law of Detachment | If a conditional is true and its hypothesis is true, then its conclusion is true. |
| symbolic form | If p to q is a true statement and p is true, then q is true. |
| Law of Syllogism | If p to q and q to r are true statements, then p to r is a true statement. |
| Division property | If a = b and c does not equal 0, then a/c = b/c. |
| Given | First under reasons is always the... |
| vertical angles | two angles whose sides form two pairs of opposite rays. |
| adjacent angles | two coplanar angles with a common side, a common vertex, and no common interrior points |
| complementary angles | two angles whose measures have a sum of 90. Each angle is called the complement of the other. |
| supplementary angles | two angles whose measures have a sum of 180. |
| theorem | the statement that you prove true |
| paragraph proof | is written as sentences |
| angle addition postulate | If point B is in the interior of angle AOC, then the measure of angle AOB plus the measure of angle BOC equals the measure of angle AOC |
| equal | If two figures are congruent, then their areas are _____. |
| nonoverlapping | The area of a region is the sum of the areas of its _______ parts. |
| vertical angles theorem | Vertical angles are congruent. |
| congruent supplements theorem | If two angles are supplements of the same angle, then the two are congruent |
| congruent complements theorem | If two angles are complements of the same angle, then the two angles are congruent. All right angle are congruent. If two angles are congruent and supplementary, then each is a right angle |
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