Consider the words typically associated with geometry. are there any words that would be hard to precisely define? what words can you think of?

In geometry, we have many formal definitions using defined words or terms. However, I can think of three words that are not formally defined. These words are point, line and plane. Even though these words are undefined we can describes them as follows:

1. Point. A point is an exact position or location in space.
It is important to understand that a point has no dimension (that is, actual size). So, it has no length, no width, and no height (thickness).
We usually named a point with a capital letter. In the coordinate plane, a point is named by an ordered pair, .
Even though we represent a point with a dot, the dot can be very tiny or very large. Recall that a point has no size.

2. Line (Straight line)

A line has no thickness.
So, its length extends in one dimension.
The line extends in both directions without end (infinitely). A line has infinite length and has no width, no height.
We assume the line to be straight.
and can be drawn with arrowheads on both ends.

3. Plane

A plane is a flat surface with no thickness extending indefinitely in all directions and having two dimensions. So, it has infinite length, infinite width and has no height (thickness). Moreover, a plane is drawn as a four-sided figure resembling a parallelogram.

The representation of each concept is shown in the Figure below.

step-by-step explanation: