Geo Flashcards for quiz
studying definitions of quiz on wednesday
Congruent Compliments theorem
If two angles are complementary to the same angle, then they are congruent (ex: if <4 is complementary to <5 and <5 is complementary to <6, then <4 and <6 are congruent.)
congruent supplements theorem
if two angles are supplementary to the same angle, then they are congruent. (ex: if <1 is supplementary to <2 and <3 is supplementary to <2, then <1 and <3 are congruent.)
linear pair postulate
if two angles are a linear pair then they are supplementary (ex: <1 and <2 form a linear pair, so <1 and <2 are supplementary and m<1 + m<2 = 180)
vertical angles congruence theorem
vertical angles are congruent (ex: <1=<3, <2=<4)
definition of congruent angles
angles are congruent if and only if they have the same measure. if two angles are congruent, then they have the same measure. if angles have the same measure, then they are congruent.
definition of angle bisector
an angle bisector divides an angle into two equal parts
definition of complimentary angles
if 2 angles are complementary, then they did up to 90 *
definition of supplementary angles
if 2 angles are supplementary , then they add up to 180*
definition of perpendicular lines
perpendicular lines for right angles. if 2 lines are perpendicular, then they form right angles
definition of a right angle
if an angle is a right angle, then it is 90*
angle addition posulate
m<ABD + m<DBC = m<ABC
linear pair postulate
if two angles from a linear pair, then tehya re supplementary.
vertical angles theorem
if two angles are vertical angles, then they are congruent.
right angle congruence theorem
if two angles are right angles, then they are congruent.
congruent complements theorem
if two angles are complementrary to the same anglem then they are congruent.
congruent supplements theorem
if two angles are supplementary to the same angle then they are congruent.
converse
flipping
bioconditional
IFF (if and only if)
inverse
negative
contrapositive
flip+negative
definition of congruent segments
segments are congruent if and only if they have the same measure. if segmnets are congruent then they have the same measure, and if the segments have the same measure then they are congruent.
definition of a midpoint
the midpoint of a segmnets divides the segment into 2 equal (congruent) parts. if M is the midpoint of AB, then the segment is divided in 2 equal parts.
definition of a segment bisector
the bisector of a segment divides the segment into 2 congruent parts.
segment addition postulate
if A,B,and C are collinear points, and B is between A and C, then AB+BC=AC
properties of equality
Addition POE
Subtraction POE
Multiplication POE
Division POE
Substitution POE
properties of equality (special)***
Reflexive POE- mirroring A=A
Symmetric POE- a=b then b=a
Transitive POE- if A=b and b=c, then a=c
properties of congruence (only use congruent symbols)
Reflexive POC- mirroring A=A
Symmetric POC- a=b then b=a
Transitive POC- if A=b and b=c, then a=c
other property
distributive property
right angle congruence theorem
all right angles are congruent
