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A _________________is an unproven statement that is based on observation or given information. To show a conjecture is true, you must show it is true for _______________________. To show a conjecture is false, you must provide only one _______________________. Ex 1: Given: 1 and 2 are supplementary Conjecture: 1 and 2 form a linear pair Ex 2: Given: 1 and 2 form a linear pair Conjecture: 1 and 2 are supplementary A ________________________is a logical statement that has two parts: If….then… The _________________ is the “if” part. The _________________ is the “then” part. Ex 3: Write the following statements as conditional statements. a. Two angles that form a linear pair are supplementary. b. All 90 angles are right angles The ________________of a conditional statement switches the hypothesis and the conclusion. The second answer we wrote for example 3b is the _____________of the first answer. The _______________ of a conditional statement negates both the hypothesis and the conclusion. Ex 4: Write the inverse of the following and state whether it is a true statement. a. If two lines form a linear pair, then they are supplementary. b. If an angles is a right angle, then it measures 90 . The _______________________of a conditional statement takes the _______________ of the ________________. Ex 5: If an angle is a right angle, the it measures 90 . Converse: Contrapositive (inverse of the converse): If a conditional statement and its converse are both true, then we can write it as a ___________ statement by using the words “if and only if.” Any valid definition can be written as a _______________________. Ex 6: If an angles is a right angle, then it measures 90 . Biconditional statement: Ex7: Perpendicular line intersect to form right angles. Conditional statement: Converse: Inverse: Contrapositive: Biconditional: If the _______________of a true conditional statement is true, then the _________________ is also true. This is called a direct argument or the Law of Detachment. Ex 8: If two segments have the same length, then they are congruent. You know BC = XY . Ex 9: If two angles form a linear pair, then they are supplementary. You know linear pair. Law of Syllagism: If hypothesis p, then conclusion q. If hypothesis q, then conclusion r. If hypothesis p, then conclusion r. If these are true, then this is true. Ex 10: If two angles form a linear pair, then they are supplementary. If two angles are supplementary, then their sum is 180 . P. 82 (1, 2, 4, 7, 10-12, 16-21) p. 90 (4, 7, 12) 1 and 2 are a