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reflexive property is anything equal of congruent to itself.
AB=AB
ABm ~ AB

complementary angles are 2 angles with measures that have a sum of 90
if: angle 2 comp angle 4
then: the measure of angle 2 + the measure of angle 4= 90

if 2 lines are cut by transversal so that consecutive interior angles are supp then the lines are //
 if: <1 supplementary <2
 ____________{1}__/_________ l
 ____________{2}_/__________ m
 /
 /
 then: l // m

theorem 2.7 if <'s are comp to the same < or to ~ <'s then they are ~
 if: <1 is comp to <3 and <2 is comp to <3
 then: <1 is comp to <2
 if: <A is comp to <s
 <B comp <T
 <S supp <T
then: <A
~ <B

theorem 3.3 if 2 // lines are cut by a transversal then the alternate exterior < are ~
 if: A // B
 c
 ___________/_______ a
 __________/________ b
 /
 /
 then: <1 ~ <2

symetric property
 AB ~ BA
 also works for equals

supplementary angles are < with the measures that have a sum of 180
 if: <1 supp <3
 then: m<1 + m<3= 180
 if: m<1 + m<3=180
 then: <1 supp <3

a segment bisector intersects a segment at its midpoint
if: AB bisects XY
then: m is the midpoint of XY

a midpoint divides a segment into 2 ~ segments
 given: m is the midpoint of AB
 then: AM is ~ to MB

addition property if = are added to ='s the results are =

transitive property
 if: AB ~ CD
 EF ~ CD
 then: AB ~ EF

congruent segments are segments = in measure
if: AB
~ EG
 then: AB = EG
 *works the other way around also

an angle bisector divides an < into 2 ~ <'s
if: BD bisects <ABC
then: <ABD ~ <DBC

congruent <'s are <'s of the same measure
if: <ABC ~ <DEF
then: m<ABC = m<DEF
also works flipped.

theorem 2.8 is 2 <' are vertical < the they are ~
 \ /
 \ /
 1 \ / 2
 / \
 / \
 then: <1 ~ <2

perpendicular lines are 2 lines that meet to form right angles
 if: AB is perp to CD
 then: <1 is a right angle

theorem 3.8 if 2 lines are perp to the same line they they are //
 L and M are parallel and A intersects them
 then: L is parallel to M

a right angle is an < whose measure = 90
 if: B is a right <
 then: the measure of <b is 90
 *works flipped becuase is a def

theorem 2.10 if 2 < at=re right < then they are ~
 if: < 1 is a rt<
 <2 is a rt <
then: <1
~ <2

theorem 2.6 id <'s are supp to the same < or to congruent < then they are congruent
 if: <1 is supp to <3 and <2 is supp to <3
 then: <1 ~ <2
 if:<A is supp to <S
 <B is supp to <T
 <S is congruent to <T
 then: <A ~ <B

subtraction property is = re subtracted from ='s the measure of the whole is =