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 - Page 628: 34

Answer

\[\Delta \text{I}\cong \Delta \text{II}\]by SAS or RHS Condition.

Work Step by Step

The figure shows that the triangle I and the triangle II both contain equal angles of \[{{90}^{\circ }}\] each marked with square. Both triangles also contain equal sides marked with one tick and two ticks. Since the lengths of two sides of triangle I are equal to the lengths of the corresponding sides of triangle II and the measurement of the angles (\[{{90}^{\circ }}\]) are also equal in triangle I and triangle II, hence the two triangles are congruent by SAS Condition. Hence\[\Delta \text{I}\]and \[\Delta \text{II}\] are congruent by SAS or RHS Condition.
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