Raymond B. answered 04/30/23
Math, microeconomics or criminal justice
Your answers look good to me
Oscar G.
asked 04/30/23Given the following conditional statement:
If m∠F = 30° and m∠G = 80°, then ∠F and ∠G are not complementary.
Part A: How is proof by contradiction different from a traditional proof? What assumption statement will begin proof by contradiction for the given conditional statement? (3 points)
Part B: Prove the given conditional statement is true by contradiction. (3 points)
Part A: Proof by contradiction is different from traditional proof because, in a proof by contradiction, you start with the opposite of the conclusion to prove that the opposite is wrong. In a traditional proof, you start with the given information to prove that the conclusion is true.
Part B: Assume that angle F and angle G are complementary. Therefore, the sum of the measures of angles F and G must be 90. However, we are told that the sum of the measures of the angles is 110. Therefore, there is a contradiction between the assumption and the facts, and so the assumption must be false.
Would my answers be correct?
Raymond B. answered 04/30/23
Math, microeconomics or criminal justice
Your answers look good to me
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