Two straight lines that remain equal distance apart are parallel lines.
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an intersection
a cirsquare
Not if they are straight lines.
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.
A polygon is a closed plane (flat) shape where an area is enclosed by a number of straight lines that meet, two at a time. These straight lines form the boundary of the polygon and are called its sides.