Transcription of 2-9 Proving Lines Parallel
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2-9 Proving Lines Parallel
Given the following information, determine which Lines , if any, are Parallel . State the postulate or theorem that justifies your answer. 1. SOLUTION: and are corresponding angles of Lines j and , j || k by the Converse of Corresponding Angles Postulate. ANSWER: j || k; converse of corresponding angles postulate 2. SOLUTION: and are alternate interior angles of Lines j andk. Since , j || k by the Converse of Alternate Interior Angles Theorem. ANSWER: j || k; alternate interior angles converse 3. SOLUTION: and are alternate exterior angles of Lines and m.
with the parallel lines will always measure 90. ANSWER: a. b. c.Sample answer: The angle that the segment forms with the parallel lines will always measure 90. 37. ERROR ANALYSIS Sumi and Daniela are determining which lines are parallel in the figure at the right. Sumi says that since 1 2, Daniela disagrees and says that
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