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Mathematics, 24.06.2019 11:20 schnefai000
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 m∠sqt = 180° definition of a straight angle m∠sqv + m∠vqt = m∠sqt angle addition postulate m∠sqv + m∠vqt = 180° substitution property of equality i m∠sqv + m∠vqt − m∠vqt = m∠vqt + m∠zrs − m∠vqt m∠sqv = m∠zrs subtraction property of equality ii m∠sqv + m∠vqt = m∠vqt + m∠zrs substitution property of equality iii m∠vqt + m∠zrs = 180° same-side interior angles theorem ∠sqv ≅ ∠zrs definition of congruency which is the most logical order of statements and reasons i, ii, and iii to complete the proof?
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