Flashcards
Unit 2.1-2.8 Honors Geometry Definitions
Cards in this deck (33)
- 1CounterexampleA specific example that shows a statement is false
- 2Inductive reasoningReasoning that uses a number of specific examples to arrive at a plausible generalization or prediction
- 3ConjectureAn educated guess based on known information
- 4ConjunctionA compound statement formed by joining two or more statements with the word AND
- 5DisjunctionA compound statement formed by joining two or more statements with the word OR
- 6Law of detachmentIf p->q is a true conditional and p is true then q is true
- 7Law of syllogismIf p->q and q->r are true conditionals the p->r is also true
- 8Reflexive P.O.Ea=a
- 9Symmetric P.O.EIf a=b, then b=a
- 10Transitive P.O.EIf a=b and b-c, then a=c
- 11Addition P.O.EIf a=b, then a+c=b+c
- 12Subtraction P.O.EIf a=b, then a-c=b-c
- 13Multiplication P.O.EIf a=b, then ac=bc
- 14Division P.O.EIf a=b and c=/0, then a/c=b/c
- 15Communitive Property of Addition/Multiplicationa+b=b+a; ab=ba
- 16Associative Property of Addition/Multiplication(a+b)+c=a+(b+c); (ab)c=a(bc)
- 17Additive Indentitya+0=0+a=a
- 18Multiplicative Identityax1=1xa=a
- 19Additive Inversea+(-a)=0
- 20Multiplicative Inverseax1/a=1, when a=/ 0
- 21Multiplicative Property of Zeroax0=0xa=0
- 22Distributive Property of Equalitya(b+c)=ab+ac; (a+b)c=ac+ab
- 23Substitution Property of EqualityIf a=b, then a may be replaced by b
- 24Congruent AnglesAngles are congruent iff the angles have equal measures
- 25Supplementary AnglesTwo angles whose measures have a sum of 180
- 26Complementary AnglesTwo angles whose measures have a sum of 90
- 27Vertical AnglesTwo non-adjacent angles formed by two intersecting lines
- 28Linear PairsAdjacent angles whose nonshared sides form opposite rays
- 29Slope Intercept formy=mx+b
- 30Standard formAx+By=C
- 31Point-Slope Formy-y1= m(x-x1)
- 32Parallel PostulateTwo non-vertical lines are parallel iff they have the same slope
- 33Perpendicular PostulateTwo non-vertical lines are perpendicular iff the product of their slope is -1(their slopes are opposite recipricals)