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Lesson 1-5 to 1-7
Vocabulary, Theorems, Postulates
| Question | Answer |
|---|---|
| Conditional Statement | Statement with 2 parts. 1) Hypothesis (cause) "if " part 2) Conclusion (effect) "then" part |
| Converse | Formed by switching the hypothesis and conclusion statement (switch "if" and "then") |
| Negation | Write the negative (opposite) of the statement |
| Inverse | Negate the hypothesis and conclusion of a conditional statement (opposite of "if" and "then") |
| Contrapositive | Negate the hypothesis and conclusion of a conditional statement AND switch the "if" and "then" (converse to the inverse) |
| Biconditional Statement | A biconditional statement is a statement that contains the phrase "if and only if". Writing a biconditional statement is equivalent to writing a conditional statement AND its converse. |
| Deductive Reasoning | A process or reasoning using facts, definitions, and accepted properties in a logical order to write a logical argument. |
| Law of Detatchment | A law of logic that states if a conditional statement and its hypothesis are true, then its conclusion is also true. (draw a conclusion based on given true information) |
| Law of Syllogism | A law of logic that states that given two true conditionals with the conclusion of the first being the hypothesis of the second, there exists a third true conditional having the hypothesis of the first and conclusion of the second. |
| Proof | A convincing argument that uses deductive reasoning. A two-column proof is a proof in which the statements and reasons are aligned in columns, is one way to organize and present a proof |
| Theorem | A conjecture that is proven |
| Linear Pair | A linear pair are two adjacent angles (share a common side) that when combined form a straight line. |
| Linear Pair Theorem | If two angles form a linear pair then they are supplementary |
| Vertical Angles | A pair of angles that have the same vertex and are on opposite sides of two intersecting straight lines. |
| Vertical Angles Theorem | If two angles form are vertical angles, then they are congruent. |
| Reflexive Property | For any number a = a |
| Transitive Property | If a = b and b = c, then a = c |
| Right Angles Theorem | All right angles are congruent |
Created by:
Mrs. Hynes
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