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midpoint

splits a segment into 2 segments of equal measure

segment bisector

passes through a midpont

angle bisector

splits an angle into 2 angles of eual measure

segment addition postulate

if B is between A and C, then AB + BC = AC

Angle addition postulate

if D is the interior of <ABC, then m<ABD + m<DBC + m<ABC

addition property of equality

if a=b and c=d then a+c = b+d

subtraction property of equality

if a=b and c=d then a-c = b-d

Multiplication property of equality

if a=b and c=d then ac=bd

substitution property

if a=b then a can be substituded for b, in any equation or expression

an angle of measures...

less than 180 have exacxtly one bisector

opposite rays

if the exterior sides of 2 adjacent angles are opposite rays, then the angles are supplementary

2 angles complementary...

two angles complementary to the same angle of equal measure have equal measure

two angles supplementary...

two angles supplementary to the same angle of equal measure have equal measure

perpinduclar/acute angles

if the exterior sides of two adjacent acute angles are perpindicular, then the angles are complementary

all right angles...

have equal measure

perpendicular lines...

perpindicular lines intersect to form right angles

2 adj < formed by perp lines...

two adjacent angles formed by perpendicular lines have equal measure

2 lines and = adj angles

if two lines from adjacent angles with equal measure then the lines are perpindicular

vertical angles

have equal measure

sum of comp angles

THE SUM OF THE MEASURES OF COMPLEMENTARY ANGLES IS 90

sum of supp angles

the sum of the measures of supplementary angles is 180