A proof – is a logical argument that shows a statement is true. For every statement that is made, you have a valid reason to back it up. A postulate – is a rule that is accepted without proof. A theorem – is a statement that can be proven. If B is between A and C, then AB + BC = AC. or If AB + BC = AC, then B is between A and C. A B C If P is in the interior of angle RST, then the measure of angle RST is equal to the sum of the measures of angle RSP and angle PST…or… mRSP mPST mRST P R T S Reflexive: For any segment AB, Symmetric: If AB CD , then CD AB AB AB . Transitive: If AB CD and CD EF , then AB EF . Reflexive: For any angle A, A A . Symmetric: IfA B , then B A . Transitive: If A B and B C , thenA C .