It is called a border.
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The line between countries is called a "border." Borders can be defined by natural features, such as rivers and mountains, or by artificial means, such as treaties and agreements. They serve as boundaries for political, legal, and economic purposes, often influencing trade, immigration, and governance.
This line is called the midpoint of the segment. It is located exactly halfway between the endpoints of the segment, dividing it into two equal segments.
It is called a bisector.
If it's a fraction then it's the denominator which divides into the numerator