After learning the midpoint construction sally realizes that she could determine one fourth the length of a segment how could she do this explain and diagram

The midpoint of two points is the point which divides the line segment joining the two points into two equal parts.

Suppose, we have a line segment AB with a point C, between point A and point B such that the distance AC is equal to the distance CB, then we say that point C is the midpoint of line AB.

Suppose, we have another point D between point A and point C, such that the distance AD is equal to the distance DC, then we say that point D is the midpoint of AC.

Notice that point D is a fourth of line segment AB.

Thus, AD is one fourth the length of segment AB.

Therefore, one fourth the length of a segment can be obtained by evaluating the midpoint of the midpoint of the line segment.