Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.1 The Distance and Midpoint Formulas - 1.1 Assess Your Understanding - Page 6: 6

Answer

The sum of the angles of the triangle is $180^o.$ Hence if $2$ angles are equal then the third one will be equal too. Hence if a corresponding side and all angles are equal, then they are congruent by the A-S-A theorem (Given two adjacent angles $\alpha$ and $\beta$ and the side between them c uniquely determines a triangle ).

Work Step by Step

The sum of the angles of the triangle is $180^o.$ Hence if $2$ angles are equal then the third one will be equal too. Hence if a corresponding side and all angles are equal, then they are congruent by the A-S-A theorem (Given two adjacent angles $\alpha$ and $\beta$ and the side between them c uniquely determines a triangle ).
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