Q: Is the line segment of -1 -1 and 0 4 parallel perpendicular or neither to the line segment of -4 3 and 6 1?

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parallel lines

A perpendicular line is a line that creates two 90 degree angles at the line, segment, etc. that it intersects. Parallel lines are two lines that never intersect. Perpendicular lines cross at right angles (+) Parallel lines will never meet, no matter how far they are extended (=)

perpendicular bisector

perpendicular line segment (apex)

~APEX~ A parallel line through a point not on the line

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parallel lines

Parallel

You can construct a parallel to a line through a point not on the line. (perpendicular line segment)

Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line

Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line

Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line

Neither: because one line, by itself, can be neither parallel or perpendicular. These characteristics are relevant only in the context of another line (or lines). The given line is parallel to some lines and perpendicular to others.

The letter - H

perpendicular bisector

A perpendicular line is a line that creates two 90 degree angles at the line, segment, etc. that it intersects. Parallel lines are two lines that never intersect. Perpendicular lines cross at right angles (+) Parallel lines will never meet, no matter how far they are extended (=)

It's called a perpendicular bisector of the line segment.