Q14 What is wrong with each of the f... [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: Q14 (page 96)

What is wrong with each of the following instructions?
Draw the line through P and X parallel to $\overset{鈫�}{J E}$ .

Short Answer

Expert verified

The wrong statement in the given instruction is that the line through P and X is parallel to $\overset{鈫�}{J E}$ . The line through P and X is not parallel to $\overset{鈫�}{J E}$ as the lines passing through P and X when extended intersects the line $\overset{鈫�}{J E}$ .

Step by step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Draw the diagram depicting the given situation.

The diagram depicting the given situation is:

Consider a line joining the points P and X. When the line joining the points P and X is extended, it intersects the line $\overset{鈫�}{J E}$ at the point N.

The parallel lines are the lines which are coplanar and do not intersect each other.

As, the line joining the points P and X and the line $\overset{鈫�}{J E}$ are coplanar but they intersect each other, therefore the line joining the points P and X and the line $\overset{鈫�}{J E}$ are not parallel.