Amanda and Stephen wrote the following proofs to prove that vertical angles are congruent. Who is correct? (2 points) Amanda's Proof

Statement	Justification
1 +4 = 180	Definition of Supplementary Angles
3 +4 = 180	Definition of Supplementary Angles
1 +4 =3 +4	Substitution Property of Equality
1 3	Subtraction Property of Equality

Stephen's Proof

Statement	Justification
1 +2 = 180	Definition of Supplementary Angles
2 +3 = 180	Definition of Supplementary Angles
1 +2 =2 +3	Substitution Property of Equality
1 3	Subtraction Property of Equality

	Stephen is correct, but Amanda is not.
	Amanda is correct, but Stephen is not.
	Both Amanda and Stephen are correct.
	Neither Amanda nor Stephen is correct.

2.

(01.07 MC) The following is an incomplete paragraph proving thatWRS VQT, given the information in the figure where: According to the given information,is parallel to, while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are ________ angles, they are congruent according to the ________ Angles Theorem. Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality. Which term accurately completes the proof? (2 points)

	Alternate interior
	Corresponding
	Same-side interior
	Vertical

3.

(01.07 MC) Use the figure to answer the question that follows: The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:

Step	Statements	Reasons
1		Given
2	Points S, Q, R, and T all lie on the same line.	Given
3	mSQT = 180	Definition of a Straight Angle
4	mSQV + mVQT = mSQT	Angle Addition Postulate
5	mSQV + mVQT = 180	Substitution Property of Equality
6		Same-Side Interior Angles Theorem
7	mSQV + mVQT = mVQT + mZRS	Substitution Property of Equality
8	mSQV + mVQT mVQT = mVQT + mZRS mVQT mSQV = mZRS	Subtraction Property of Equality
	SQVZRS	Definition of Congruency

What is the missing statement for step 6? (2 points)

	mSQV + mVQT = 180
	mSQV + mSQT = mVQT
	mSQV + mSQT = 180
	mVQT + mZRS = 180

4.

(01.07 MC) Use the figure and flowchart proof to answer the question: Which property of equality accurately completes Reason B? (2 points)

	Addition Property of Equality
	Division Property of Equality
	Substitution Property of Equality
	Subtraction Property of Equality

5.

(01.07 MC) Given:is parallel to mABC = 70 mCED = 30 Prove:mBEC = 40

Statement	Justification
is parallel to	Given
mABC = 70	Given
mCED = 30	Given
mABC = mBED	Corresponding Angles Theorem
mBEC + 30 = 70	Substitution Property of Equality
mBEC = 40	Subtraction Property of Equality

Which of the following accurately completes the missing statement and justification of the two-column proof? (2 points)

	mBEC + mCED = mBED; Definition of a Linear Pair
	mABC + mBEC = mBED; Angle Addition Postulate
	mABC + mBEC = mBED; Definition of a Linear Pair
	mBEC + mCED = mBED; Angle Addition Postulate

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