1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
How do i solve this quadratic equation x²+6x+c
Anuta_ua [19.1K]

recall in a perfect square trinomial, the middle term is the tale-tell guy, we know the middle term is the product of 2 and the two other guys without the exponent, so in this case 6x = 2*√x² * √c.


\bf 6x=2\cdot \sqrt{x^2}\cdot \sqrt{c}\implies 6x=2\sqrt{x^2c}\implies 6x=2x\sqrt{c}\\\\\\\cfrac{6x}{2x}=\sqrt{c}\implies 3=\sqrt{c}\implies 3^2=c\implies 9=c

6 0
3 years ago
PLZ HELP ME PLZZZ 15 PTS Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their
vredina [299]
12/60 students chose science fiction

Approximately x/150 students prefer sf

60x = 1800

x = 30

30/150 students are assumed to prefer sf

30/150 = x/100

150x = 3000

x = 20

20/100 students are likely to prefer sf

Mr. Rodriguez made a reasonable estimate for the approximate percentage of students that prefer science fiction, because if 12/60 is equivalent to 30/150 which refers to the number of students who can be assumed to prefer science Fiction out of the whole school. Considering we need to identify what 30/150 as a percentage is, we can reduce it down to 1/5 to make I easier, then divide 1 by 5 to get .2
.2 as a percentage is 20%, so his inference was indeed reasonable.

(♥ω♥*)Brainliest Please(♥ω♥*)

8 0
2 years ago
Read 2 more answers
PLEASE HELP WILL MARK U BRAINLIEST
lisov135 [29]

Answer:

B

Step-by-step explanation:

find the the surface area of one corner

4 0
3 years ago
The number of cars at a dealership dropped from 64 to 48 after a weekend sale.
tigry1 [53]

Answer: B. 25%

Step-by-step explanation:

64-48 = 16

16/ 64= 0.25

0.25 x 100 = 25%

8 0
2 years ago
A) Find a value for x that makes −x less than 2x
Vedmedyk [2.9K]

Answer:

hight school sucks

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the value of x in the isosceles triangle shown
    15·1 answer
  • The girls need 116 bows. Which store should they buy the bows from if they plan to purchase all of the bows from one store? What
    14·1 answer
  • Ann bought two shirts for $28.95 each and a skirt for $33.95 the sales tax was $3.71 about how much did she pay altogether
    15·1 answer
  • I NEED HELP PLEASE FAST ILL PICK BRAINLIEST AND A LOT OF POINTS PLZ
    14·2 answers
  • Explain how to find 4x80
    14·2 answers
  • Explain a line with a positive slope
    7·1 answer
  • 20 POINTS!!!!WILL MARK AS BRAINLIEST HELP ME!!!!!!!!PLEASE!!!!!!!!!!
    9·1 answer
  • What is the volume of the cube shown?<br> 24 in.
    8·1 answer
  • Help anyone need it asap<br> 8th grade math
    14·1 answer
  • Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!