A plane in geometry is defined as a flat, two-dimensional surface that extends infinitely in all directions. It is one of the basic undefined terms in geometry along with point and line.
1. Understanding Dimensions:
- A point has zero dimensions. It represents a location in space but has no size.
- A line has one dimension. It has length but no width or depth, extending infinitely in two directions.
- A plane has two dimensions. It has length and width, forming a flat surface, but no depth.
2. Choosing the Correct Option:
- Option A (One dimension) describes a line, not a plane.
- Option B (Three dimensions) describes a volume or space, which contains length, width, and height.
- Option C (Zero dimensions) describes a point.
- Option D (Two dimensions) accurately describes a plane, which has both length and width but no height.
Therefore, the answer to the question "How many dimensions does a plane have?" is D. Two.
