proofs

definition of midpoint: proves congruence

definition of angle bisector: proves congruence

angle addition postulate: angle+angle=big angle

angles in linear pairs are supplementary/angle addition postulate for linear pairs: angles add up to 180

works for congruent: reflexive, symmetric, transitive

midpoint theorem: AM=1/2AB; MB=1/2AB

angle bisector thereom: angle ABX=1/2 angle ABX

vertical angle theorem: proves congruence

definition of perpendicular: 2 lines intersect to form right angles

if 2 lines are perpendicular, they form congruent adjacent angles (use when you know lines are perpendicular

if 2 lines form congruent adjacent angles, they are perpendicular

SCAC: supplements of congruent angles are congruent

CCAC: complements of congruent angles are congruent

Complementary adjacent angles form perpendicular lines (CAAFPL)

parallel postulate: if two lines are cut by a transversal and the alternate interior angles are supplementary, then the lines are parallel

corresponding congruent angles create parallel lines

alternate interior angles are congruent

both lines parallel to a 3rd line

perpendicular to the same line

triangle sum theorem: the sum of angles in a triangle add to 180

if 2 angles of a triangle are congruent to 2 angles of another triangle, then the third angles are congruent to each other

each angle of an equiangular triangle is 60 degrees

in a triangle there can be at most 1 obtuse or right angle

exterior angle theorem: measure of an exterior angle is equal to the sum of the remote interior angles