Question

S , U , N are collinear. Select the point that satisfies the definition of betweenness if NU + US = NS .

Answer 1

Point U is the point that satisfies the definition of betweenness.

Explanation:

We are given that the three points S,U and N are collinear (i.e. they lie on a line).

By definition of betweenness we mean, a point B is between two other points A and C if all three points are collinear and AB +BC = AC.

Hence, from the given property:

NU + US = NS we have:

U is the mid point of the line joining the points N and S.

Hence, the point that satisfies the definition of betweenness is:

Point U.

Answer 2

Given that the line segments NU and US can also be written as line segment NS then Point U would satisfy the Definition of Betweenness.

This simply means that Point U lies between Points N and S along the same line.