Q12 Reword Theorem 3-8 as two statem... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 3: Q12 (page 86)

Reword Theorem 3-8 as two statements, one describing existence and the other describing uniqueness.

Short Answer

Expert verified

The existence is that 鈥渁 parallel line to another line consists of a point that is positioned on outer area of another line鈥�. The uniqueness is that 鈥渢he count of line is one that is parallel to another line also it consist of a point that is positioned on outer area of another line鈥�.

Step by step solution

Step 1. Definition of theorem 3-8

Theorem 3-8 states that a parallel line to another line consist of a point that is positioned on outer area of another line.

Step 2. Split the theorem in existence and uniqueness

The theorem 3-8 consists of existence that 鈥渁 parallel line to another line consists of a point that is positioned on outer area of another line鈥�.

The theorem 3-8 consists of uniqueness that 鈥渢he count of line is one that is parallel to another line also it consist of a point that is positioned on outer area of another line鈥�.