reasoning and proofs Flashcards
conditional statement
if p, then q
a conditional statement is false when
a true hypothesis produces a false conclusion
converse
if q, then p
inverse
if not p then not q
contrapositive
if not q then not p
conditional statement ties with
contropositive
converse ties with
inverse
biconditional statement
if and only if
through any 2 points there is exactly
1 line
a line contains at least
2 points
if 2 lines intersect then there intersect is
1 point
a plane contains at least
3 non collinear points
if 2 points lie in a plane then the line containing them lies
in the plane
if 2 planes intersect then there intersection is
a line
ab=cd and cd=ab
symmetric
any segment congruent to itself is
reflexive
chain
transitive
right angles congruent theorem
all right angles are congruent
congruent supplements theorem
if to angles are supplementary to the same angle or congruent angles then they are congruent
linear pair postulate
if 2 angles form a linear pair then they are supp
congruent compliments theorem
if 2 angles are complementary to the same angle or to congruent angles then they are congruent
vertical angles congruent theorem
vertical angles are congruent
segment added (gets bigger)
addition property
segment taken away (gets smaller)
subtraction property
only 2 supplement or compliment
substitution
perpendicular lines are
right angles
bisect
2 congruent parts
midpoint
2 congruent segments
