subject
Mathematics, 11.11.2020 02:00 coopera1744

Segments UV and WZ are parallel with line ST intersecting both at points Q and R, respectively The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:

Step Statements Reasons
1 segment UV is parallel to segment WZ Given
2 Points S, Q, R, and T all lie on the same line. Given
3 m∠SQT = 180° Definition of a Straight Angle
4 m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
5 m∠SQV + m∠VQT = 180° Substitution Property of Equality
6 Same-Side Interior Angles Theorem
7 m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality
8 m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT
m∠SQV = m∠ZRS Subtraction Property of Equality
∠SQV ≅ ∠ZRS Definition of Congruency

What is the missing statement for step 6?
m∠SQV + m∠VQT = 180°
m∠SQV + m∠SQT = m∠VQT
m∠SQV + m∠SQT = 180°
m∠VQT + m∠ZRS = 180°

ansver
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 20:20, helpmeplzandty
Select the correct answer. what is the exact value of sin (157.5°)? a. 'sqrt(2 - sqrt(2))/2 b. *"-"'sqrt(2 + sqrt(2))/29 c.'sqrt(2 + sqrt(2))/4" d. "-"sqrt(2 + sqrt(2))/4)
Answers: 3
image
Mathematics, 21.06.2019 21:00, zwalkert01
If a is a nonzero real number then the reciprocal of a is
Answers: 2
image
Mathematics, 21.06.2019 21:40, arubright177
The tile along the edge of a triangular community pool needs to be replaced? ?
Answers: 2
image
Mathematics, 21.06.2019 23:30, zaymuney3063
Which term applies to agb and dge? a. obtuse b. supplementary c. complementary d. vertical
Answers: 1
You know the right answer?
Segments UV and WZ are parallel with line ST intersecting both at points Q and R, respectively The...

Questions in other subjects:

Konu
Chemistry, 20.09.2020 18:01
Konu
English, 20.09.2020 18:01
Konu
Mathematics, 20.09.2020 18:01