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Bell Ringer What is the.. 1.) Segment Addition Postulate 2.) Angle Addition Postulate 3.) Reflexive Property Section 2.5 Postulate or Axiom – Statement that describes a fundamental relationship between basic terms. Reflexive: a = a Symmetric: a = b then b = a Transitive: If a = b and b = c then a =c Substitution: If a = b then a can be replaced with b in any equation Distributive: a(b + c) = ab + ac Addition Property: a=b then a+c = b+c Subtraction property: a=b then a–c = b-c Multiplication Property: If a=b then ac = bc Division Property: If a=b then a/c = b/c Congruence of segments is: Reflexive: AB = AB Symmetric: AB = BA Transitive: If AB = CD and CD = EF then AB =EF Two- Column Proofs Statement Reason Information Given Problem Property Theorem Postulate Definition Axiom/Postulate Example Statement Reason 3x – 2 = 4(x + 2) Given Paragraph Proof Given AB is congruent to BC prove that B is a midpoint. We know that B divides the segment AC into two equal parts because we are told that AB is congruent to BC, and the definition of congruence is that they are equal. B is a midpoint because the definitions of a mid point says that it is a point that divides a segment into two equal parts. 2- Column Statement AB = BC Reason Class Work Page 117 - 118 # 5 - 19