Short Answer 
The fundamental terms in geometry are points, lines, and planes, which form the basis of geometric concepts. Points have no dimensions, lines are one-dimensional and extend infinitely, while planes are two-dimensional surfaces made up of infinite points. Additionally, points are located on a coordinate plane using ordered pairs (x, y) to denote their positions.
Step 1: Understanding Basic Geometry Terms
In geometry, there are three undefined terms that are fundamental to the subject: points, lines, and planes. These terms serve as the building blocks of geometric concepts and lack formal definitions. It’s essential to grasp these terms to understand how they relate to each other in geometry.
Step 2: Identifying a Point’s Location
A point’s location on a coordinate plane is defined using an ordered pair represented as (x, y). In this context, ‘x’ indicates the horizontal position, while ‘y’ denotes the vertical position. Therefore, every point on the plane can be expressed through this ordered pair system:
- The first number (x) represents the horizontal axis.
- The second number (y) represents the vertical axis.
Step 3: Characteristics of Points, Lines, and Planes
Each geometric term has specific characteristics that define it:
- A point has no dimensions; it signifies a position only.
- A line is one-dimensional, extending infinitely in both directions but has no width.
- A plane consists of an infinite set of points, serving as a flat, two-dimensional surface.
Understanding these properties is crucial for further exploration in geometry.