Respuesta :

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

Answer:

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

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 [tex]\overline {NU}[/tex] or [tex]\overline {UN}[/tex].

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

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