Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.2 Triangles - Exercise Set 10.2: 28

Answer

$\triangle{I} \cong \triangle{II}$ by SAS postulate

Work Step by Step

The triangles share a common side so that side counts as one pair of congruent sides. The two triangles have another pair of congruent corresponding sides (as labeled in the figure). The angles included by these two sides are both 90-degrees, so they are congruent. Thus, by the SAS postulate, $\triangle{I} \cong \triangle{II}$.
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