Chapter 3: Q6 (page 86)

In each exercise, some information is given. Use this information to name the segments that must be parallel. If there are no such segments, say so.
$∠ 2 ≅ ∠ 7$

Short Answer

Expert verified

The required segments are $\bar{P A}$ and $\bar{L R}$ .

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 $\bar{P A}$ and $\bar{L R}$ and the separate line that travels through these lines is $\bar{A L}$ . Use the relation between provided angles and make an equation that represents their measurement.

$m ∠ 2 = m ∠ 7$

Step 3. Make the conclusion

Using the theorem 3-5 determine the lines that are having a parallel relation between them.

$\bar{P A}|| \bar{L R}$

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In each exercise, some information is given. Use this information to name the segments that must be parallel. If there are no such segments, say so.
$∠ 2 ≅ ∠ 7$

Short Answer

Step by step solution

Step 1. Determine which theorem or postulate can be used

Step 2. Make an observation from the provided figure

Step 3. Make the conclusion

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In each exercise, some information is given. Use this information to name the segments that must be parallel. If there are no such segments, say so.∠2≅∠7

Short Answer

Step by step solution

Step 1. Determine which theorem or postulate can be used

Step 2. Make an observation from the provided figure

Step 3. Make the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In each exercise, some information is given. Use this information to name the segments that must be parallel. If there are no such segments, say so.
$∠ 2 ≅ ∠ 7$