Question

use the given diagram to answer the question.
which line is the intersection of two of the planes shown?
which line intersects one of the planes shown?
which line has points on three of the planes shown?

Explanation:

First Question:

Step1: Recall the property of intersection of two planes

Two planes intersect in a line. Looking at the diagram, the line \( w \) is where two of the planes meet.

Second Question:

Step1: Analyze the intersection of a line and a plane

A line that intersects a plane has exactly one - point of intersection (if it is not parallel or lying on the plane). The line \( v \) intersects one of the planes (it is not parallel and does not lie on the plane)

Third Question:

Step1: Check the line with points on three planes

The line \( y \) has points that lie on three of the planes shown.

Answer:

1. The line \( w \) is the intersection of two of the planes shown.
2. The line \( v \) intersects one of the planes shown.
3. The line \( y \) has points on three of the planes shown.