Question

The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ.:


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.

Answer 1

picture will be up shortly

Answer 2

B is the answer

Answer 3

Which phrase accurately completes the proof?

A: ∠SQU ≅ ∠VQT

B: ∠SQU ≅ ∠WRS

C: ∠WRS ≅ ∠VQT

D: ∠WRS ≅ ∠ZRT

Answer 4

yeah b

Answer 5

howd you know? if i didnt post the options yet

Answer 6

I had the problem before

Answer 7

hey if u could could u fan and medal?

Answer 8

ok just seemed a bit strange, can you explain how you got the answer and i will

Answer 9

hold on

Answer 10

il give a hint :)

SQU and WRS are corresponding angels

Answer 11

B is your answer lol that hint is more than an answer ;)

Answer 12

thanks

Answer 13

np

Answer 14

can i ask you another?

Answer 15

sure but cAN U MEDAL AND FAN FIRST?

Answer 16

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

When written in the correct order, the two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:


Statements Reasons
segment UV is parallel to segment WZ Given
Points S, Q, R, and T all lie on the same line. Given
I m∠SQV + m∠VQT = 180° Substitution Property of Equality
II m∠SQT = 180° Definition of a Straight Angle
III m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem
m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality
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


Which is the most logical order of statements and reasons I, II, and III to complete the proof?
I, III, II

II, I, III

II, III, I

III, I, II

Answer 17

the picture is the same as the one previously posted