Mathematics, 03.06.2020 13:18 Richelleypinelley
WILL GIVE BRAINLIEST TO BEST ANSWER
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:
StatementsReasons
segment UV is parallel to segment WZGiven
Points S, Q, R, and T all lie on the same line. Given
Im∠SQT = 180°Definition of a Straight Angle
IIm∠SQV + m∠VQT = 180°Substitution Property of Equality
IIIm∠SQV + m∠VQT = m∠SQTAngle Addition Postulate
m∠VQT + m∠ZRS = 180°Same-Side Interior Angles Theorem
m∠SQV + m∠VQT = m∠VQT + m∠ZRSSubstitution Property of Equality
m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT
m∠SQV = m∠ZRSSubtraction Property of Equality
∠SQV ≅ ∠ZRSDefinition of Congruency
Which is the most logical order of statements and reasons I, II, and III to complete the proof? (5 points)
Select one:
a. I, III, II
b. II, I, III
c. II, III, I Incorrect
d. III, I, II
Answers: 1
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WILL GIVE BRAINLIEST TO BEST ANSWER
Use the figure to answer the question that follows:
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