Geometry

Question Analysis

This question involves the concept of parallel lines in geometry. The main focus is on understanding the characteristics and definitions of parallel lines.

Key Concept Explanation:

Parallel lines are defined as coplanar lines that do not intersect each other, no matter how far they are extended.

Option Analysis

Option D is the incorrect statement about parallel lines. It describes perpendicular lines, not parallel lines. Perpendicular lines intersect at 90°; parallel lines never intersect.

The other options are correct:

Option A: it is a characteristic of parallel lines in the context of coordinate geometry. The equality of slopes ensures that the lines have the same steepness and will never cross each other.

Option B: it is a defining characteristic of parallel lines. Coplanarity is an essential aspect of their definition in a two-dimensional context.

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