Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 3 - Section 3.1 - Congruent Triangles - Exercises - Page 144: 26


Proof 1: $\overline{DC}$$\parallel$$\overline{AB}$ is given in question. Proof 2: $\angle$DCA is identical to $\angle$BAC because they are alternate interior angles Proof 3: $\overline{AD}$$\parallel$$\overline{BC}$ is given Proof 4: $\angle$DAC is identical to $\angle$BCA because if two $\parallel$ lines are cut by a transversal, alternate interior angles are identical. Proof 5: $\overline{AC}$ is identical to $\overline{AC}$ is identity Proof 6: $\triangle$ABC is identical to $\triangle$CDA because of ASA

Work Step by Step

Given: $\overline{DC}$$\parallel$$\overline{AB}$ and $\overline{AD}$$\parallel$$\overline{BC}$ To prove: $\triangle$ABC is identical to $\triangle$CDA
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