Question

I can't find out this proof problem.


The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT given the information in the figure where segment UV is parallel to segment WZ.:
http://lake.flvs.net/webdav/assessment_images/educator_geometry/v15/module03/03_01_a13.jpg

Answer 1

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 Postulate. 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

Answer 2

I have a feeling ∠WRS ≅ ∠ZRT is the answer, but I am uncertain.

Answer 3

how would you describe what a vertical angles are?

Answer 4

and your link is attempting to log us into your course ....

Answer 5

I am sorry, I just signed up for this like right now because I don't understand if my answer is right, I will upload the file again, I am sorry.

Answer 6

take a screenshot of the picture instead of a link to the picture ... otherwise your school forbids access to it

Answer 7

I believed I finally figured it out. Here is the picture.

Answer 8

nice pic ... can you refresh my memory as to how vertical angles are defined?

Answer 9

i see its pretty much defined in the problem isnt it ... yeah, wrs = zrt would make the most sense

Answer 10

∠SQU ≅ ∠VQT might be better if we are just starting out ..... hard to read thru the setup :/

Answer 11

According to the given information, segment UV is parallel to segment WZ while angles SQU and VQT are vertical angles.

(relate wrs to something) by the Vertical Angles Theorem.

Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Postulate.

Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality.

Answer 12

yeah, wrs = zrt is my best assumption :/

Answer 13

Hmmm, I feel like I will put that again, I took the test once and I got that question wrong with your and my answer, I will just put it down again, maybe ask my teacher. Thank you though x)