subject
Mathematics, 27.01.2021 01:30 Zaida21

Use the figure to answer the question that follows: 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 Substitution Property of Equality
6 m∠VQT + m∠ZRS = 180° 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 5?
m∠SQV = m∠SQT
m∠SQV + m∠VQT = 180°
m∠SQV + m∠SQT = m∠VQT
m∠SQV + m∠SQT = 180°

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 16:30
Which expression is equivalent to sq-80
Answers: 2
question
Mathematics, 21.06.2019 18:50
The trigonometric ratios sine and secant are reciprocals of each other
Answers: 2
question
Mathematics, 21.06.2019 21:30
Acompany charges $0.10 for each letter engraved. bobby plans to spend no more than $5.00 on the engraving on a jewelry box. write and solve an inequality to find the maximum number of letters he can have engraved.
Answers: 1
question
Mathematics, 21.06.2019 21:30
Using elimination, what is -4x+2y=-12 4x+8y=-24
Answers: 1
You know the right answer?
Use the figure to answer the question that follows: segments UV and WZ are parallel with line ST in...
Questions
question
Mathematics, 29.08.2021 02:20
question
Mathematics, 29.08.2021 02:20
question
Mathematics, 29.08.2021 02:20
question
Mathematics, 29.08.2021 02:20
Questions on the website: 13722359