Chapter 5: Q1 (page 169)

For the following figure, if $O E = 4$ and $W E = 8$ , name two segments congruent to $\bar{W E}$ .

Short Answer

Expert verified

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

Step by step solution

Step 1. Check the figure.

Consider the figure $▱ C R E W$ .

Step 2. Apply the concept of the parallelogram.

In a parallelogram, opposite sides of a parallelogram are equal to each other, and diagonals of a parallelogram bisect each other.

Step 3. Step description.

Here, CREW is a parallelogram.

Since the opposite sides are congruent in a parallelogram, thus $\bar{C R}$ and $\bar{W E}$ are the opposite sides and $\bar{W E} ≅ \bar{C R}$ .

As the diagonal bisects each other thus $\bar{C E}$ and $\bar{W R}$ bisect each other.

Step 4. Step description.

From the figure, O is the midpoint of $\bar{C E}$ such that $C E = O E = 4$ .

Thus, simplify the equation as follows:

$\begin{array}{l} C E - C O + O E \\ C E = 4 + 4 \\ C E = 8 \end{array}$

Since $W E = C E$ this $\bar{W E} ≅ \bar{C E}$

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

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

For the following figure, if $O E = 4$ and $W E = 8$ , name two segments congruent to $\bar{W E}$ .

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of the parallelogram.

Step 3. Step description.

Step 4. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Statistics

Probability and Statistics

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

For the following figure, if OE=4and WE=8, name two segments congruent to WE¯.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of the parallelogram.

Step 3. Step description.

Step 4. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Statistics

Probability and Statistics

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

For the following figure, if $O E = 4$ and $W E = 8$ , name two segments congruent to $\bar{W E}$ .