FTCE General Knowledge Math Practice Test 2025 - Free Practice Questions and Study Guide

The formula to determine the length of a line segment between two points in a plane is based on the concept of distance. Specifically, when you have two points, say \( (x_1, y_1) \) and \( (x_2, y_2) \), the length of the line segment connecting them can be calculated using the distance formula:

\[

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

\]

This formula arises from the Pythagorean theorem, allowing you to find the straight-line distance between two points. The term "distance" explicitly refers to the measurement of space between these two points, making it the most appropriate choice for this context.

The other options touch on relevant concepts but do not specifically denote the formula or the direct measurement method used to calculate the length of a line segment. "Length" and "magnitude" are more general terms, while "measurement" does not specify the mathematical relationship that accurately calculates the distance between points. Thus, "distance" is the correct term that encapsulates the formula and the intended calculation.