In geometry, we start with several fundamental concepts which are often referred to as the undefined terms: point, line, plane, and space. Let's examine each of these to determine which one has no dimension:
1. Point: This is a location in space that has no size, width, length, or height. It is simply a position and thus has no dimension.
2. Line: A line, in geometry, extends infinitely in either direction and has length, but no width or height. Thus, a line is one-dimensional.
3. Plane: A plane extends infinitely in two dimensions - length and width. It has no thickness, making it two-dimensional.
4. Space: Space is the most encompassing of these terms. It includes length, width, and height, making it three-dimensional.
From this analysis, we can conclude which term has no dimension. A point is the term that has no dimensions at all.
Therefore, the answer is:
O a line
O space
O a plane
O a point
A point is the building block in geometry that has no dimension.
