Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 5: Q3 (page 169)

For the following figure, if $\overset{炉}{W R} 鈯� \overset{炉}{C E}$ then name all segments congruent to $\overset{炉}{W E}$ .

Short Answer

Expert verified

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

Step by step solution

Step 1. Check the figure.

Consider the figure $鈻� C R E W$ .

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 $W R 鈯� C E$ 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 $\overset{炉}{W E}$ is $\overset{炉}{C W}, \overset{炉}{R C}$ and $\overset{炉}{R E}$ .

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91影视

For the following figure, if $\overset{炉}{W R} 鈯� \overset{炉}{C E}$ then name all segments congruent to $\overset{炉}{W E}$ .

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of the parallelogram.

Step 3. Step description.

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91影视

For the following figure, if WR炉鈯�CE炉then name all segments congruent to WE炉.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of the parallelogram.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

For the following figure, if $\overset{炉}{W R} 鈯� \overset{炉}{C E}$ then name all segments congruent to $\overset{炉}{W E}$ .