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Lerok [7]
2 years ago
10

The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is paral

lel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while 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 Theorem. Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality. Which phrase accurately completes the proof?
∠SQU ≅ ∠VQT
∠SQU ≅ ∠WRS
∠WRS ≅ ∠VQT
∠WRS ≅ ∠ZRT

Mathematics
1 answer:
Vikki [24]2 years ago
6 0

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.

<h3>What are vertical angles?</h3>

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.

Hence, the correct option is A.

Learn more about Vertical Angles:

brainly.com/question/24460838

#SPJ1

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Step-by-step explanation:

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7 0
3 years ago
Find the amount of cardboard needed to make a box for a single slice of pizza. The box is shoen in the shape of a triangular pri
Molodets [167]
For this case, what you should do is calculate the surface area of the figure.
 We have then:
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 A1 = (1/2) * (7) * (12)
 A1 = 42 in ^ 2
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 A2 = (1) * (12.5)
 A2 = 12.5 in ^ 2
 A3 = (1) * (7)
 A3 = 7 in ^ 2
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 Substituting values:
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 Answer:
 
the amount of cardboard needed to make a box for a single slice of pizza is:
 
A = 116 in ^ 2
8 0
3 years ago
Describe the relationship between the perimeter of a triangle and the perimeter of the triangle that is formed by the midsegment
lilavasa [31]
It is 1/4 of the area of the larger triangle...basically if you connect the three midpoints of the triangle's sides it creates four identical smaller triangles...

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3 0
2 years ago
Solve the system with substitution<br><br> 2.5x-3y=-13<br> 3.25x-y=-14
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Step-by-step explanation:

5 0
3 years ago
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kogti [31]
1. A quadratic equation has the following form: ax²+bx+c.
 
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4 0
3 years ago
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