Diana and Joby wrote the following proofs to prove that vertical angles are congruent. Who is correct?


Diana's Proof


Statement Justification

∠1 + ∠2 = 180° Definition of Supplementary Angles

∠1 + ∠4 = 180° Definition of Supplementary Angles

∠1 + ∠2 = ∠1 + ∠4 Transitive Property of Equality


Joby's Proof


Statement Justification

∠2 = ∠4 Vertical angles are congruent.

∠1 = ∠3 Vertical angles are congruent.

Vertical Angles are congruent. Vertical Angle Theorem

A. Diana is correct, but Joby is not.
B. Both Diana and Joby are correct.
C. Neither Diana nor Joby is correct.
D. Joby is correct, but Diana is not.

Diana and Joby wrote the following proofs to prove that vertical angles are congruent Who is correct Dianas Proof Statement Justification1 2 180 Definition of S class=

Respuesta :

Answer:

Diana is correct Joby is not.

Step-by-step explanation:

To prove that vertical angles are congruent.

DIana started with linear pair property of supplementary angles for two lines

and used transitive property to prove that vertically opposite angles are equal

Hence Diana proof is correct.

But Joby's proof contains these following errors

Instead of proving vertical angles equal, he has used them in the first step as given.  This is wrong  Similarly second statement also is to be proved but he simply stated without any justification

Answer:

Neither Diana nor Joby is correct.

Step-by-step explanation:

I just took the test and got it RIGHT, after taking it 3 times.

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