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Bag o' Tricks

Bag o' Tricks for Geometry

QuestionAnswer
__+__=__ segment addition postulate/angle addition postulate
angle is congruent to angle vertical angles are congruent
midpoint <-> =/congruent definition of midpoint
bisector of angle <-> =/congruent definiton of angle bisector
midpoint <-> 1/2 midpoint theorem
bisector of angle <-> 1/2 angle bisector theorem
midpoint <-> bisects definiton of segment bisector
90 <-> right definition of segment bisector
complimentary <-> =90 definition of complimentary angles
supplementary <-> =180 definition of supplementary angles
perpendicular lines -> right right -> perpendicular lines perpendicular lines -> 90 90 -> perpendicular lines definition of perpendicular lines
perpendicular lines -> congruent if perpendicular lines, then congruent adjacent angles
congruent -> perpendicular if congruent adjacent angles, then perpendicular lines
perpendicular lines -> complimentary if exterior sides of two acute adjacent angles are perpendicular lines, then the angles are complimentary
complimentary, complimentary, congruent -> congruent compliments of congruent angles are congruent
complimenary, complimentary -> congruent compliments of the same angle are congruent
supplementary, supplementary, congruent -> congruent supplements of congruent angles are congruent
supplementary, supplementary -> congruent supplements of the same angle are congruent
addition property if a=b and c=d, then a+c=b+d
subtraction property if a=b and c=d, then a-c=b-d
multiplication property if a=b, then ca=cb
division property if a=b and c is not equal to 0, then a/c=b/c
substitution property if a=b, then either a or b may be substituted for the other in any equation (or inequality)
reflexive property a=a
symmetric property if a=b and b=c, then a=c
transitive property if a=b and b=c, then a=c
distributive property if a(b+c), then ab+ac
reflexive property (congruence) line segment DE is congruent to line segment DE angle D is congruent to angle D
symmetric property (congruence) if line segment DE is congruent to lene segment FG, then line semgent FG is congruent to line segment DE if angle D is congruent to angle E, then angle E is congruent to angle D
transitive property (congruence) if line seg. DE is congruent to line seg. FG and line seg. FG is congruent to line seg. JK, then line seg. DE is congruent to line seg. JK if angle D is congruent to angle E and angle E is congruent to angle F, then angle D is congruent to angle F
Created by: Monkeyboy1518