Chapter 2.1, Problem 5E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*Use drawings, as needed, to answer each question.*

Does the relation “is parallel to” have a

a) 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

**Properties used:**

**Approach:**

Consider,

An arbitrary line

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.

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