Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q2 (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 areOX¯andIZ¯ along with this the postulate is Postulate 11.

Step by step solution

01

Step 1. Determine which theorem or postulate can be used

The postulate 11 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 that are corresponding will be congruent .

02

Step 2. Observe the provided figure

A separate line OI¯travels through the lines OX and IZ.

03

Step 3. Make the conclusion

Using the postulate 11 determine the measurement of angles related to the lines OI, OX and IZ.

m∠POX=m∠POW+m∠WOX

=50+30

=80

m∠OIZ=m∠OIY+m∠YIZ

=52+28

=80

The obtained measurement for both the angles is the same which means that thse angles are also congruent so according to the postulate 11 the lines OX and IZ are having a relation that is parallel.

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

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

.Name two planes parallel toAB¯.

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

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

and

Name the two lines and the transversal that form each pair of angles.

and

Classify each pair of angles as alternate interior, same side interior or corresponding angles

and

See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Decision 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