Q17 In the plane P, Q, and R, how ma... [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: Q17 (page 86)

In the plane P, Q, and R, how many lines can be drawn through R perpendicular to $\overset{鈫�}{Q R}$ ? What postulate or theorem justifies your answer?

Short Answer

Expert verified

The required count of line is one and the theorem is Theorem 3-9.

Step by step solution

Step 1. Define the theorem that can be used

Theorem 3-9 can be used which states that a perpendicular 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 R and the another line is $\overset{鈫�}{Q R}$ . According to the figure the line on which R is positioned is that is having a perpendicular relation with $\overset{鈫�}{Q R}$ along with this the consideration of another line $\overset{鈫�}{R B}$ will result in formation of an angle which is not equal to localid="1637909895808" $90 掳$ the line $\overset{鈫�}{R B}$ cannot have a perpendicular relation with the line $\overset{鈫�}{Q R}$ .