geometry proofs

21 terms

adding the same thing to both sides

subtraction property of equality

subtracting the same thing to both sides

multiplication property of equality

multiplying the same thing on both sides

division property of equality

dividing the same thing on both sides

adding 2 segment pieces to equal a whole segment

adding 2 angles to equal an entire angle

definition of midpoint

the point that divides a segment into 2 congruent angles

definition of angle bisector

ray that divides an angle into 2 congruent angles

vertical angles are congruent

vertical angles are congruent

midpoint theorem

if M is the midpoint then the segments are 1/2 the total measure

reflexive property

ab=ab (duh property)

ab=ba

substitution

transitive property

if a=b and b=c then a=c

definition of segment bisector

a line, segment, or ray that intersects a segment at its midpoint

definition of right angle

an angle whose measure is 90

definition of perpendicular lines

2 lines that intersect to form a right angle

2 lines = perpendicular = congruent adjacent angles

the lines are perpendicular... the conclusion is that they form 90 degree angles, or congruent adjacent angles

definition of complementary angles

2 angles whose sum is 90

definition of supplementary angles

2 angles whose sum is 180

if exterior of 2 adjacent acute angles are perpendicular then the angles are complementary

if exterior of 2 adjacent acute angles are perpendicular then the angles are complementary