/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q18. Classify each statement as true ... [FREE SOLUTION] | 魅影直播

魅影直播

Log out

Learning Materials

Features

Discover

Chapter 1: Q18. (page 30)

Classify each statement as true or false.

It is possible for two intersecting lines to be non-coplanar.

Short Answer

Expert verified

The given statement that It is possible for two intersecting lines to be non-coplanar is False.

Step by step solution

01

Step 1. Write the Theorem 1-3.

The Theorem 1-3 states that if there are two intersecting lines, then exactly one plane can pass through these lines.

02

Step 2. Draw two intersecting lines and plane containing these lines.

03

Step 3. State whether the given statement is true or false by considering the Theorem 1-3 and the diagram.

From the diagram and Theorem 1-3 it can be concluded that:

If there are two lines which are intersecting then exactly one plane can pass through these lines.

Therefore, if the two lines are intersecting then surely one plane will pass through these line therefore, the two intersecting lines will never be non-coplanar.

Hence the given statement that It is possible for two intersecting lines to be non-coplanar is false.

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.

Over 30 million students worldwide already upgrade their learning with 魅影直播!

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

Name three lines that intersect at point E.

Point X is equidistant from F and T. Furthermore, point Y is equidistant from F and T. Does that mean that X and Y are equally distant from F?

State whether it is possible for the figure described to exist. Write yes or no.

Three non-collinear points all lie in each of the two planes.

State a postulate, or part of a postulate, that justifies your answer to each exercise.

Does plane N contain any points not on AB鈫�?

Name the vertex and sides of 鈭�5.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

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.