Use the figure to answer the question that follows:
segments uv and wz are parallel wit...
Mathematics, 10.10.2019 21:30, kactus
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
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