MathNotes1.docx

# MathNotes1.docx - 1 Provide the reasons for the proof Given...

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1. Provide the reasons for the proof. Given: m 1 = m 2 Prove: AC BD Statements: Reasons: a. m 1 = m 2 a. Given b. 1 is supplementary to 2. b. m 1+m 2= 180 c. m 1 + m 2 = 180 c. 1 is supplementary to 2 d. m 1 + m 1 = 180 2( m 1) = 180 d. m 1= 90 90 +90 = 180 m 2= 90 e. m 1 = 90 e. m 1 is a right angle f. 1 is a right angle. f. m 1 = 90 g. AC BD g. m 1 = m 2 2. Explain whether the following statement is a valid definition: “A 150° angle is an obtuse angle.” Definition: That is not valid because it is not reversible. Meaning it is false. Converse: An obtuse angle is 150º. An obtuse angle could be any measurement that is more than 90º, but less than 180º, but not only 150º. Biconditional: There is no biconditional for this statement because in order to make a biconditional, you need two hypotheses, and then you combine the two. And in order to do that, they both need to be true 3. Explain the purposes of inductive and deductive reasoning in mathematics.

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