Question

the midpoint of a line segment partitions the line segment into a ratio of
1:1.
1:2.
2:1.
2:3.

Explanation:

Step1: Recall midpoint definition

A midpoint of a line segment is a point that divides the segment into two equal - length parts.

Step2: Relate to ratio

If a point divides a line segment into two parts with equal length, then the ratio of the length of the first part to the length of the second part is \(1:1\). For example, if the length of the entire segment is \(L\), and the midpoint divides it into two segments of length \(x\) and \(y\), since it's the midpoint, \(x = y\), and the ratio \(x:y=1:1\).

Answer:

A. 1:1