# Math Chapter 2

 Define: Conjecture an unproven statement that is based on observations Define: Inductive reasoning when you find a pattern in specific cases and then wright a conjecture for the general cause Define: Counterexample a specific case for which the conjecture is false what is the counterexample in... 2x>x 2(-1)>-1-2>-1 False Define: conditional statement a logical statement that has 2 parts, a hypothesis and a conclusion. It is written in a if-then form Define: biconditional statements a statement that contains the phrase "if and only if" Example: an angle is a right angle if and only if its angle measurement is equal to 90 degrees Define: law of syllogism if hypothesis A, then conclusion Bif hypothesis B, then conclusion Cif hypothesis A, then conclusion C Define: law of detachment Law of Detachment ( also known as Modus Ponens (MP) ) says that if p=>q is true and p is true, then q must be true. example:If an angle is obtuse, then it cannot be acute.Angle A is obtuse.ThereforeAngle A cannot be acute. Postulate 1: ruler postulate The points of a line can be matched one to one with the real numbers. The real numbers that correspond to a point is the coordinate Postulate 2: segment addition postulate If B is between A and C, then AB+BC=ACIf AB+BC=AC, then B is between A and C Postulate 4: angle addition postulate If P is in the interion of