Question

given the following diagram...
what is the intersection of lines p and q?
○ line ef
○ point x
○ point e
○ plane k

Explanation:

To determine the intersection of two lines, we recall that two lines intersect at a single point (if they are not parallel or coincident). Looking at the diagram, lines \( p \) and \( q \) intersect at point \( E \). Let's analyze the options:

• "line EF": A line and a line intersect at a point, not a line, so this is incorrect.
• "point X": Point \( X \) is not the intersection of lines \( p \) and \( q \) (from the diagram's labeling, \( X \) is related to other lines or the vertical line \( WY \)).
• "point E": This matches the intersection of lines \( p \) and \( q \) as per the diagram's structure (where lines \( p \) and \( q \) cross at \( E \)).
• "plane K": A line and a line intersect at a point, not a plane, so this is incorrect.

Answer:

C. point E