Q11 In each exercise some informatio... [FREE SOLUTION]

91影视

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 3: Q11 (page 87)

In each exercise some information is given. Use this information to name the segments that must be parallel. If there are no such segments, write none.
$m 鈭� 5 + m 鈭� 6 = m 鈭� 9 + m 鈭� 10$

Short Answer

Expert verified

The required segments are $\overset{炉}{A E}$ and $\overset{炉}{B D}$ .

Step by step solution

Step 1. Determine which theorem or postulate can be used

The theorem 3-5 can be used which states that the relation between two lines is parallel only when a separate line travels through these two lines and the angles which are positioned on the alternate interior side represents the congruent angles.

Step 2. Make an observation from the provided figure

The provided figure consists of two lines $\overset{炉}{A E}$ and $\overset{炉}{B D}$ having a parallel relation between them and the separate line that travels through these lines is . The angles positioned on alternate interior side are the left and right side of the provided equation.

Step 3. Make the conclusion

As the lines $\overset{炉}{A E}$ and $\overset{炉}{B D}$ having angles positioned on alternate interior side are the left and right side of the provided equation so the segments $\overset{炉}{A E}$ and $\overset{炉}{B D}$ are the required segments.