subject
Mathematics, 15.12.2020 21:10 727

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? (5 points)

Group of answer choices

m∠SQV + m∠VQT = 180°

m∠SQV = m∠SQT

m∠SQV + m∠SQT = m∠VQT

m∠SQV + m∠SQT = 180°

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 16:20
Monica build a remote control toy airplane for science project to test the plane she launched it from the top of a building the plane travel a horizontal distance of 50 feet before landing on the ground a quadratic function which models the height of the plane in feet relative to the ground at a horizontal distance of x feet from the building is shown
Answers: 1
question
Mathematics, 21.06.2019 22:00
Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.
Answers: 1
question
Mathematics, 21.06.2019 23:40
30 ! the graph shows the number of siblings different students have. select from the drop-down menus to correctly complete the statement.
Answers: 1
question
Mathematics, 22.06.2019 00:00
Which choice names the hypotenuse of triangle xyz? a. segment yx b. segment yz c. segment ab d. segment zx
Answers: 3
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, 15.08.2021 04:40
question
Mathematics, 15.08.2021 04:40