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Q10

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Geometry

Found in: Page 40

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

Justify each statement with a property from algebra or property of congruence.
If $A B = C D$ , $C D = E F$ and $E F = 23$ then $A B = 23$ .

From the property of congruence, it is proved that $A B = 23$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Transitive property of congruence.

If $P Q = M N$ and $M N = R S$ then $P Q = R S$ .

Step 2. Description of step.

Apply transitive property of congruence to the given sides.

$\begin{array}{l} A B = C D = E F \\ A B = E F \end{array}$

Step 3. Description of step.

Substitute 23 for $E F$ into $A B = E F$ to find the required answer.

$\begin{matrix} A B = E F \\ = 23 \end{matrix}$

Therefore, the value of $A B$ is 23.

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