###
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

a²+b²=c²

###
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

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symmetric POE

if a=b then b=a

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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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