Question

If points N, U, and T are collinear, name all the segments they determine.

Answer 1

NU, UT, and NT
i don't see what they're being collinear has to do with it.

Answer 2

Answer:

The name all the segments they determine are $\overline {NU}$,$\overline {UN}$,$\overline {NT}$,$\overline {TN}$,$\overline {UT}$,$\overline {TU}$.

Step-by-step explanation:

Given information: Points N, U, and T are collinear.

We need to find the name all the segments they determine.

If three point are collinear, it means they are lie on the same line.

Segment is a part of a line which have two end points.

Let as consider the end points of the segment are N and U. So the name of segment is either $\overline {NU}$ or $\overline {UN}$.

Consider the end points of the segment are N and T. So the name of segment is either $\overline {NT}$ or $\overline {TN}$.

Consider the end points of the segment are U and T. So the name of segment is either $\overline {UT}$ or $\overline {TU}$.