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Mathematics 4 Online
OpenStudy (anonymous):

Diana and Joby wrote the following proofs to prove that vertical angles are congruent. Who is correct? Diana is correct, but Joby is not. Both Diana and Joby are correct. Neither Diana nor Joby is correct. Joby is correct, but Diana is not.

OpenStudy (anonymous):

OpenStudy (anonymous):

@KingGeorge can you help?

OpenStudy (kinggeorge):

Before I say anything, what do you think the correct answer is and why?

OpenStudy (anonymous):

they both seem to be true, however Diana's gives more explaination and shows how all four corners create 360 degrees, but she doesnt seem to prove that each angle is congruent to each other. Joby shows how the angles are congruent to each other. so I guess the answer would be "Joby is correct, Diana is not"

OpenStudy (kinggeorge):

You are correct in thinking that Diana doesn't show how the angles are congruent to each other, so her proof is wrong. You also correctly identified the problem. However, if you look at Joby's proof, his starting assumption is that vertical angles are congruent. This is a flawed proof, so his is also wrong. For example, I could say: Assume 1+1=3. Therefore, 2=3. This is basically what Joby did.

OpenStudy (anonymous):

What Joby did is a classical fallacy: Assuming your conclusion.

OpenStudy (anonymous):

oh ok so neither of them are correct?

OpenStudy (kinggeorge):

right.

OpenStudy (anonymous):

thank you :)

OpenStudy (kinggeorge):

You're welcome.

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