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Earn +20 ptsQ: What is the locus of points equidistant from two parallel lines?
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How is the locus of points equidistant from two parallel lines in a plane constructed?
you dont
What is the locus of points equidistant from two parallel lines that are 6 inches apart?
It is a line that is also parallel to them and exactly halfway between them.
What is the locus of all points in a plane equidistant from two parallel lines in the plane?
It's another line, parallel to both of the first two and midway between them.
What is the locus of points equidistant from lines y equals 0 and x equals 3?
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
What is the locus of all points that are equidistant from 2 lines called?
Assume that all distances are measured along the appropriate perpendicular. There is no specific name for the locus since the locus can be two or one straight lines, depending upon the original two lines. If the two lines are intersecting then the locus is a pair of straight lines that bisect the two angles formed by the original lines. If the original two lines are parallel, then the locus is a line parallel to them and halfway between them.
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