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segment addition postulate

If B is between A and C, then AB+BC=AC

angle addition postulate

Angles can be added together if they are adjacent
, If P is in the interior of <RST, then m<RSP + m<PST = m<RST

pythagorean theorem


linear pair theorem

if two angles form a linear pair, then they are supplementary

congruent supplements theorem

if two angles are supplementary to the same angle (or to congruent angles) then they are congruent

right angle congruence theorem

all right angles are congruent

congruent complements theorem

If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent.

common segments theorem

Given collinear points A, B, C and D arranged as shown if line AB is congruent to line CD then line AC is congruent to line BD a__,__b_______c__,__d

vertical angles theorem

vertical angles are congruent

symmetric POE

if a=b then b=a

transitive POE

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

substitution POE

if a=b, then b can be substituted for a in any expression

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