Answer:
A plane is defined by an endless collection of lines.
A line exists in just one dimension, which is its length.
Step-by-step explanation:
The options are
- A point represented as (x, y) has two dimensions.
- A plane provides a definite start and finish.
- A line has one dimension, which is length.
- A point represents an infinite number of lines.
- A plane consists of an infinite set of lines.
In Euclidean geometry, the undefined terms are the plane, point, and line. These concepts are so instinctive that they require no demonstration; they simply exist and are too fundamental to be defined, which is why they are regarded as undefined terms.
However, each term has specific attributes, for instance, both a line and a plane are infinite. A plane is created by an infinite number of lines, and a line is made up of an infinite multitude of points. Furthermore, since a line comprises an infinite set of points, it only has a single dimension, as individual points lack dimensions but collectively represent a length.
Thus, the correct responses are C and E.
