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Q6

Expert-verified

Geometry

Found in: Page 124

Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

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Short Answer

For the following figure, can the triangle be proved congruent. If so, what postulate can be used?

The triangles are congruent by the SAS postulate.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Apply the concept of the SAS postulate.

SAS postulates state that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

Step 2. Check the figure.

Consider the figure.

Step 3. Step description.

From the figure, two sides of one triangle are congruent to two sides of another triangle also the included angles between two sides are equal as they are vertically opposite angles.

So, they must be equal.

Therefore, the triangles are congruent by SAS postulates.

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