Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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