Question

s, u, n are collinear. what point is between the other two if nu=1, su=2, sn=3? nu + us = ns. options: u, n, s

Explanation:

Step1: Analyze the segment addition

Given \( NU = 1 \), \( SU = 2 \), and \( SN = 3 \). We know that for collinear points, the sum of two adjacent segments should equal the longest segment.

Step2: Check the addition

Calculate \( NU + SU \), which is \( 1 + 2 = 3 \). And \( SN = 3 \), so by the segment addition postulate, \( NU + SU = SN \). This means that point \( U \) lies between \( N \) and \( S \) (or between \( S \) and \( N \), but the order here is consistent with the sum). So the point between the other two is \( U \).

Answer:

U