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23 Cards in this Set
- Front
- Back
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conditional statement
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has two parts, a hypothesis and a conclusion.
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converse
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the statement formed by switching the hypothesis and conclusion of a conditional statement
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negation
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the negative of a statement. the negation symbol is ~
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inverse
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the statement formed when you negate the hypothesis and conclusion of a conditional statement
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contrapositive
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the statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement
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perpendicular lines
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two lines that intersect to form a right angle. the smybol for "is perpendicular to" is ⊥
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line perpendicular to a plane
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a line that intersects the plane in in a point and is perpendicular to every line in the plane that intersects it
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biconditional statement
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a statement that contains the phrase "if and only if" the symbol for "if and only if" is ↔
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logical argument
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an argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order
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law of detachment
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if p ➡ q is a true conditional statement and p is true, than q is true
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law of syllogism
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if p ➡q and q➡r are true conditional statements then p➡r is true
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inductive reasoning
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the process of using observations or specific data to recognize a patter and making a conjecture
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deductive reasoning
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the process of combining statements such as general rules or laws to make a logical argument or to identify a specific result or conclusion
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conjecture
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an unproven theorem
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counterexample
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an example that proves a statement is false.
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reflexive property of congruence
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AB is congruent to AB
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symmetric property of congruence
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KR congruent ML then ML congruent to KR
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transitive property of congruence
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AB congruent to CD and CD congrent to EF then AB congrent to EF
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right angle congruence theorem
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All right angles are congruent
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linear pair postulate
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linear pair's are congruent
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vertical angles theorem
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vertical angles are congruent
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congruent supplements theorem
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if two angles are supplements of congruent angles (or of the same angle) then the two angles are congruent.
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congruent complements theorem
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if two angles are complements of congruent angles (or of the same angle) then the two angles are congruent.
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