If points N, U, and T are collinear, name all the segments they determine.
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 \(\overline {NU}\),\(\overline {UN}\),\(\overline {NT}\),\(\overline {TN}\),\(\overline {UT}\),\(\overline {TU}\).
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 \(\overline {TU}\).