Q15 How many lines can be drawn thro... [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: Q15 (page 86)

How many lines can be drawn through Q parallel to $\overset{鈫�}{P R}$ ?

Short Answer

Expert verified

The required count of line is one.

Step by step solution

Step 1. Define the theorem that can be used

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

Step 2. Relate the theorem using the provided information

The mentioned point in theorem according to the question is Q and the another line is $\overset{鈫�}{P R}$ . Consider that the line on which Q is positioned is $\overset{鈫�}{P Q R}$ that is having a parallel relation with $\overset{鈫�}{P R}$ along with this the consideration of another line $\overset{鈫�}{A Q B}$ will result in formation of an angle that is from the intersection between the lines $\overset{鈫�}{A Q B}$ and $\overset{鈫�}{P R}$ .

As the lines $\overset{鈫�}{A Q B}$ and $\overset{鈫�}{P Q R}$ are having an intersection so the line $\overset{鈫�}{A Q B}$ cannot be parallel to the line $\overset{鈫�}{P R}$ .