Oscar G.

asked • 04/30/23

Would my answer be correct?

Given 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?




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