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Complete the reasons for the two column proof below given:< 10=<14prove: s // t

Complete the reasons for the two column proof below given:< 10=<14prove: s // t-example-1
Complete the reasons for the two column proof below given:< 10=<14prove: s // t-example-1
Complete the reasons for the two column proof below given:< 10=<14prove: s // t-example-2

1 Answer

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EXPLANATION

The statements and reasons will be as shown as follows:

Statement Reason

< 10=<14 Given

< 14=<12 Vertical angles are congruent

< 10=<12 Transitive property

s//t Converse of corresponding angles Theorem

Converse of corresponding angles Theorem: If the corresponding angles formed by two lines and a transversal are congruent, then the lines are parallel.

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