Segment addition postulate, segment AB+ segment BC= segment AC, Definition of Midpoint, B is the midpoint of segment AC. segment AB is congruent to segment BC, Definition of congruent segments, segment AB is congruent to segment BC or AB=BC, Definition of Segment Bisector, Line B bisects AC-> segment AB is congruent to segment BC., Angle addition postulate, Angle ABD + Angle CBD =angle ABD, Definition of Angle Bisector, ray BC bisects angle ABD -> angle ABC is congruent to angle CBD., Definition of Congruent Angles, angle ABC is congruent to angle CBD and/or the measure of angle ABC is equal to the measure of angle CBD, Definition of Complementary Angles, angle 1 + angle two are equal to 90 degrees, Definition of Supplementary Angles, angle 1 plus angle 2 are equal to 180 degrees, Definition of a Right Angle, the measure of the angle is 90 degrees, Definition of Perpendicular Lines, when two lines interconnect and make a right angle, Linear Pair Postulate, when the figure is a linear pair the sum of those two numbers should be 180 degrees or supplementary, Vertical Angle Congruency Theorem, When two lines interconnect then the angles on the opposite side of each other are equal, Right Angle Congruency Theorem, If measure of the angle B is a rt angle and the measure of E is s rt angle then they are congruent, Congruent Complement Theorem, angle 1 and angle 2 are complementary and angle 3 is complementary to angle 1 then angle 2 and 3 are equal, Congruent Supplements Theorem, angle 1 and angle 2 are supplementary and angle 3 is supplementary to angle 1 then angle 2 and 3 are congruent, Reflexive PoE, a=a or angle A is equal to angle A, Reflexive PoC, segment AB is congruent to segment AB or angle form, Symmetry PoE, Segment AB is equal to segment BC so segment BC is equal to segment AB, Symmetry PoC, Segment AB is congruent to segment BC so segment BC is congruent to segment AB, Transitive PoE, If a=b and b=c then a=c, Transitive PoC, If a is congruent to b and b is congruent to c then a is congruent to c, Substitution PoE, If a=b then b can be substituted for a and vice versa, Addition PoE, if a=b then a+c=b+c, Subtraction PoE, If a=b then a-c=b-c, Division PoE, If a=b then a/c=b/c, Multiplication PoE, If a=b then a times c = b times c, Distributive PoE, a(b+c)=ab+ac

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