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Mathematics, 21.01.2020 20:31 fatherbamboo

Match the reasons with the statements in the proof to prove ab || dc , given that ad is parallel to bc and ad = cb .

given:

ad || bc

ad = cb

prove:

ab || dc

1. ad || bc, ad = cb (a. if lines are parallel, then alternate interior angles are equal.)
2. ac = ac (b. if alternate interior angles are congruent, then lines are parallel.)
3. 2 = 3 (c. cpcte)
4. acd = cab (d. reflexive property of equality)
5. 1 = 4 (e. sas)
6. ab || dc (f. given)

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