Flashcards
Definitions - Chapter 2
Flashcards do conjunto (27)
- 1ConjectureA statement you believe to be true based on inductive reasoning.
- 2CounterexampleA drawing, statement, or a picture for when the conjecture is false.
- 3Conditional StatementA statement that can be written in the form "if p, then q"
p --> q - 4HypothesisThe part P of the conditional statement following the word if.
- 5ConclusionThe part q in the conditional statement following the word then.
- 6Truth ValueTrue or False (A conditional statement is only false when the hypothesis is true and the conclusion is false.
- 7NegationOf the statement p is "not p" written as ~p
- 8ConverseThe statement formed by exchanging the hypothesis and conclusion.
q --> p - 9InverseThe statement formed by negating the hypothesis and conclusion.
~p --> ~q - 10ContrapositiveThe statement formed by both exchanging and negating the hypothesis and conclusion.
~q --> ~p - 11Logically Equivalent StatementsRelated conditional statements that have the same truth value.
- 12Biconditional StatementA statement that can be written in the form "p if and only if q" This means "if p, then q" and "if q, then p"
- 13DefinitionA statement that describes a mathematical object and can be written as a true biconditional.
- 14PolygonA closed plane figure formed by three or more line segments.
- 15TriangleA three-sided polygon.
- 16QuadrilateralA four-sided polygon.
- 17ProofAn argument that uses logic, definitions and properties and previously proven statements to show that a conclusion is true.
- 18Addition Property of Equalityif a = b, then a + c = b + c
- 19Subtraction Property of EqualityIf a = b, then a - c = b - c
- 20Multiplication Property of EqualityIf a = b, the ac = bc
- 21Division Property of EqualityIf a = b , then a/c = b/c
- 22Reflexive Property of Equality/Congruencea=a
- 23Symmetric Property of Equality/CongruenceIf a = b, then b = a
- 24Transitive Property of Equality/CongruenceIf a = b and b = c, then a = c
- 25Substitution Property of EqualityIf a = b, then b can be substituted for a in any expression.
- 26TheoremAny statement that you can prove. (Once you have proven a statement you can use it as a reason in later proofs)
- 27Two-Column ProofYou list the steps of the proof in the left column, you list the matching reason for each step in the right column.
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- Geometry FlashCards sobre Definitions - Chapter 2, criado por ejochym em 04-10-2013.
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- ejochym
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