Reasoning in algebra and geometry PRACTICE TEST FULLY SOLVED WITH ALL VERIFIED SOLUTIONS

addition property If a=b, then a+c=b+c subtraction property If a=b, then a-c=b-c multiplication property If a=b, then ac=bc division property If a=b and c is not equal to 0, then a/c=b/c. reflexive property a=a symmetric property if a=b, then b=a Transitive property If a=b and b=c, then a=c Substitution property If a=b, then b can replace a in any expression distributive property a(b + c) = ab + ac Proofs convincing arguments using deductive reasoning Two column proofs a list of statements on the left, list of reasons for each statement on the right Statement column specific names of things from diagram reasons column properties definitions postulate therums last step in column the proof or what the statement you want to prove