Question

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

Line segment NT intersects line segment MR forming four angles; angles 1 and 3 are vertical angles; and angles 2 and 4 are vertical angles.

Kelly’s Proof


Statement
Justification
Angle2 = Angle4
Vertical angles are congruent
Angle1 = Angle3
Vertical angles are congruent
Vertical Angles are congruent.
Vertical Angle Theorem

Daniel’s Proof

Statement
Justification
Angle1 + Angle2 = 180°
Definition of Supplementary Angles
Angle1 + Angle4 = 180°
Definition of Supplementary Angles
Angle1 + Angle2 = Angle1 + Angle4
Transitive Property of Equality
Angle2 = Angle4
Subtraction Property of Equality
Answers:
Both Kelly and Daniel are correct.

Neither Kelly or Daniel is correct.

Kelly is correct, but Daniel is not.

Daniel is correct, but Kelly is not.

Answer 1

wow no one helped you out. That's sad

Answer 2

Yeah, everyone is so mean. Dx

Answer 3

lol ill help let me read

Answer 4

Daniel is correct, but Kelly is not. and it is Definitely Daniel's proof because you want to prove that the vertical angles are congruent we cant use vertical angles are congruent to prove that they are congruent.

Answer 5

so does that help?

Answer 6

Yes, thank you. (:

Answer 7

yw