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

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

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}`.