   Chapter 2.1, Problem 5E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# Use drawings, as needed, to answer each question.Does the relation “is parallel to” have aa) reflexive property? (consider a line m)b) symmetric property? (consider lines m and n in a plane)c) transitive property? (consider coplanar lines m, n, and q)

To determine

(a)

To check:

Whether the relation “is parallel to” have a reflexive property.

Explanation

Given:

Consider,

A line m.

Properties used:

(1) If two lines are at equidistance in the same plane and do not intersect each other then the lines are parallel. And the intersection of two lines always gives at least one common point.

(2) If anything is congruent to itself then, it has reflexive property.

Approach:

Consider,

An arbitrary line m

To determine

(b)

To check:

Whether the relation “is parallel to” have a symmetric property.

To determine

(b)

To check:

Whether the relation “is parallel to” have a transitive property.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 