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Q3

Expert-verified

Geometry

Found in: Page 169

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, if $\bar{W R} ⊥ \bar{C E}$ then name all segments congruent to $\bar{W E}$ .

The segments congruent to $\bar{W E}$ is $\bar{R C}, \bar{C W}$ and $\bar{R E}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Check the figure.

Consider the figure $▱ C R E W$ .

Step 2. Apply the concept of the parallelogram.

In a parallelogram, if the diagonals of a parallelogram are perpendicular then it is a rhombus.

In a rhombus, all sides are equal.

Step 3. Step description.

Here, CREW is a parallelogram.

Since $W R ⊥ C E$ thus the parallelogram becomes a rhombus.

As all sides are equal in a rhombus thus the sides are as follows:

$\begin{matrix} R C = C W \\ = W E \\ = R E \end{matrix}$

Therefore, the segments congruent to $\bar{W E}$ is $\bar{C W}, \bar{R C}$ and $\bar{R E}$ .

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