Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 2 - Section 2.3 - Proving Lines Parallel - Exercises: 18

Answer

1. Given 2. Corresponding angles 4. $\angle$3 and $\angle$4 5. (answer given in problem) 6a. l$\parallel$n 6b. Corresponding angles postulate

Work Step by Step

1. Given statements are always defined 2. Corresponding angles are angles formed from two parallel lines cut by a transversal. Because l$\parallel$m and line t is the transversal, $\angle$1 and $\angle$2 are are corresponding angles 4. Given 6. The Corresponding angles postulate states if a traversal (line t) intersects two parallel lines (refer to given), then they are congruent. Since $\angle$1 and $\angle$4 are corresponding angles, this means l$\parallel\$n.
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