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21 terms

math therums

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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