Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 4 - Congruent Triangles - Common Core Cumulative Standards Review - Selected Response - Page 279: 6



Work Step by Step

Option F is incorrect. $\angle 1$ and $\angle 8$ are supplementary, not congruent. Option G is incorrect. Vertical angles are congruent, but they do not prove that lines are parallel. Option I is incorrect. $\angle 3$ and $\angle 5$ are same-side interior angles, which are supplementary, not congruent. Option H is correct. $\angle 3$ and $\angle 4$ are alternate interior angles, which are congruent. If alternate interior angles are congruent, then the lines are parallel.
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