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:

Step1: Intersection of two planes

Planes intersect in a line. Looking at the diagram, line \( w \) is the intersection of two of the planes shown.

Step2: Line intersecting one plane

Line \( v \) intersects one of the planes. A line intersecting a plane will cross it at a single point (in 3 - D space, if it is not parallel).

Step3: Line with points on three planes

Line \( y \) has points on three of the planes. Since a line is a set of points, if a line passes through three planes (by having points on each), it satisfies the condition.

Answer:

• Line \( w \)
• Line \( v \)
• Line \( y \)