Question

what is the point that divides a line segment into two congruent line segments?

Answer 1

The point that divides a line segment into two congruent line segments is called the **midpoint**. The midpoint is located exactly halfway between the endpoints of the line segment. If the endpoints of the line segment are given by the coordinates \((x_1, y_1)\) and \((x_2, y_2)\), the coordinates of the midpoint \((M)\) can be calculated using the following formula:

\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

This formula averages the x-coordinates and the y-coordinates of the endpoints to find the midpoint.