Question

@pinkfloyd @taskmasters PLEASE HELP IM STUCK ONE QUESTION??/

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∠SQT = 180° Definition of a Straight Angle
II m∠SQV + m∠VQT = 180° Substitution Property of Equality
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?

Answer 1

Answer:

II, III, I

Explanation:

because I'am always right.

Answer 2

Answer: ||, |||, |

Explanation:

Given that Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively.We prove that corresponding angles are congruent as follows: Statements Reasons

segment UV is parallel to segment WZ Given Points S, Q, R, and T all lie on the same line. GivenII.) m∠SQT = 180° Definition of a Straight AngleIII.) m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate I.) m∠SQV + m∠VQT = 180° Substitution Property of Equalitym∠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 Therefore, the most logical order of statements and reasons I, II, and III to complete the proof is ||, |||, |. I hope this helped.