Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q1 (page 86)

State which segments (if any) are parallel. State the postulate or theorem that justifies your answer.

Short Answer

Expert verified

The required segments are KC¯and DE¯along with this the theorem is Theorem 3-6.

Step by step solution

01

Step 1. Determine which theorem or postulate can be used

The theorem 3-6 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 same side are supplementary which means that their measurement will be equal to if they are added.

∠1+∠2+∠3+∠4=180°

02

Step 2. Make an observation from the provided figure

The provided figure consists of only two angles ∠EDKand ∠DKCwhich are positioned and are supplementary because:

m∠EDK+m∠DKC=62+118

=180

03

Step 3. Make the conclusion

Using the theorem 3-6 determine the lines that are having a parallel relation between them.

KC¯DE¯

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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Complete each statement with the word always, sometimes, or never.

Two lines parallel to a third line are parallel to each other

Name several lines skew to

Complete each statement with the word always, sometimes, or never.

Three lines intersecting in one point are coplanar

Draw each figure described.

Lines d and e are skew, lines e and f are skew, and d⊥f.

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free