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56 Cards in this Set
- Front
- Back
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Conjecture
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an unproven statment that is based on observations
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inductive reasoning
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looking for patterns and making conjectures
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counterexample
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shows the conjecture is false
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point
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has no demitions, reprsented by a small dot
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line
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extends in one dimition
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plane
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extends in two demitions
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collenier points
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points lie on sam e line
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coplanier points
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points lie on same plane
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opposite rays
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line has different initial points and extend in different direction
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postulates
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rules accepted without proof
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angle
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cosist of two different rays
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adjacent angles
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they share a common vertex and sides
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segment bisector
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segment, ray, or line that that intersects line at midpoint
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angle bisecter
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ray that divides an angle into two adjacent angles
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linear pair
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noncommon sides are opposite ray
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Conjecture
|
an unproven statment that is based on observations
|
|
|
inductive reasoning
|
looking for patterns and making conjectures
|
|
|
counterexample
|
shows the conjecture is false
|
|
|
point
|
has no demitions, reprsented by a small dot
|
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line
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extends in one dimition
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plane
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extends in two demitions
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collenier points
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points lie on sam e line
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coplanier points
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points lie on same plane
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opposite rays
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line has different initial points and extend in different direction
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postulates
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rules accepted without proof
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angle
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cosist of two different rays
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adjacent angles
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they share a common vertex and sides
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segment bisector
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segment, ray, or line that that intersects line at midpoint
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angle bisecter
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ray that divides an angle into two adjacent angles
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linear pair
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noncommon sides are opposite ray
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coditinal statment
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has two parts, an hypothisis and a conclusion
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converse
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swithing hypothisis with conclusion
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negation
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writing the negitive of the statment
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inverse
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negate the hypothisis and conclusion
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contrapositive
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negate the hypothisis and conclusion of the converse
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biconditional statment
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phrase that contains the statment "if and only if"
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Law of Detachment
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If p__q is a true conditioal statment and p is true, then q is true
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Law of Syllogism
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If p->q and q->r are true C. statments, then q->r is true
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Reflexive property
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m<A=m<A
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Symetric property
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m<A=m<B, then m<B=m<A
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Transitive property
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If m<A=m<B and m<B=m<C, then, m<A=m<C
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Theorem
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A true statment that follows as a result of other true statments
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two-column proof
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has numberd statments and reasons that show logical order
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paragraph proof
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a proof written in paragraph form
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Right angle congruance theorem
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All right angles are congruent
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Linear pair postulate
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If two angles form a linear pair, then they are supplementary
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VERTICAL ANGLES THEOREM
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vertical angles are congruent
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parallel lines
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if they are coplaniear and do not intersect
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skew lines
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lines do not intersect and are not coplanear
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parallel planes
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two plane that do not intersect
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transversal
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line that intersects two or more copllanear lines at defferernt points
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corasponding angles
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two angles occuping corrisponding positions
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flow proof
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uses arrows to show flow of logical argument
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Coorisponding angles postulate
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If two lines are cut by a transversal, then the pairs of corrisponding angles are congruent
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slopes of parallel lines postulate
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two nonvertical lines are parallel if and only if they have the same slope
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slopes of perpendicular lines
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two nonverticall lines are perpendicular if and only if the product of their slopes is-1
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