Line Segment 7Ed416

1. The problem is to understand what a line segment is in geometry. 2. A line segment is a part of a line that is bounded by two distinct end points. 3. It has a fixed length and does not extend infinitely like a line. 4. The length of a line segment between points $A(x_1, y_1)$ and $B(x_2, y_2)$ can be calculated using the distance formula: $$\text{Length} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ 5. This formula comes from the Pythagorean theorem applied to the right triangle formed by the horizontal and vertical distances between the points. 6. Understanding line segments is fundamental in geometry as they form the sides of polygons and are used in many geometric constructions.