Which geometric system is used to locate points on a plane?

The correct choice is the Cartesian Coordinates system. This system is a fundamental geometric framework that uses a pair of numerical values (x, y) to locate points on a two-dimensional plane. In this system, the horizontal axis is typically referred to as the x-axis, while the vertical axis is known as the y-axis. Each point is defined by its horizontal and vertical distances from these two intersecting axes, facilitating accurate plotting and analysis of geometric figures, graphs, and functions.

In comparison, although the Polar Coordinate system also locates points on a plane, it does so using a different methodology based on angles and distances from a central point. The Spherical Coordinates system is used for points in three-dimensional space, relying on angles and radial distances, which is not suitable for locating points specifically on a plane. Geographic Coordinates concern the earth's surface and use latitude and longitude, making them irrelevant when dealing specifically with flat, two-dimensional mapping.