Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - Mid-Chapter Quiz - Page 243: 10



Work Step by Step

We see that only one pair of sides is marked as congruent. However, the triangles have at least one more congruent side, for they share a common side. Also, the straight line at the bottom of the triangle creates a linear pair between the 90 degree angle and the adjacent angle. Since 180-90=90, we see that the adjacent angle is also 90 degrees due to the definition of a linear pair. Thus, the triangles are congruent by SAS.
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