Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises - Page 76: 30

Answer

1. We are told that the transversal bisects two parallel lines. 2. If the lines are parallel, then the corresponding angles are congruent. 3. One angle is 90 degrees since it is perpendicular to the transversal. 4. Thus, by (2), this means that its corresponding angle is also 90 degrees. 5. Since the transversal forms a 90 degree angle with the secon parallel line, it is also parallel to this line.

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