Which phrase accurately completes the proof

| August 30, 2017

Question
Summary – 03.01 Line and Angle Proofs

Question 1(5 points)

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

Kelly’s Proof

Statement

Justification

?2 =?4

Vertical angles are congruent.

?1 =?3

Vertical angles are congruent.

Vertical Angles are congruent.

Vertical Angle Theorem

Daniel’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

?2 =?4

Subtraction Property of Equality

(5 points)

Question 1 options:

1)

Both Kelly and Daniel are correct.

2)

Neither Kelly or Daniel is correct.

3)

Kelly is correct, but Daniel is not.

4)

Daniel is correct, but Kelly is not.

QUESTION 2:

The following is an incomplete paragraph proving that?WRS??VQT, given the information in the figure where https://njvs:

According to the given information, https://njvsis parallel to https://njvswhile angles SQU and VQT are vertical angles. ________________ by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Postulate. Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality.

Which phrase accurately completes the proof? (5 points)

1)

?SQU??VQT

2)

?SQU??WRS

3)

?WRS??VQT

4)

?WRS??ZRT

Question 3

The following is an incorrect flowchart proving that point L, lying on

https://njvswhich is a perpendicular bisector ofhttps://njvs, is equidistant from points J and K:

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