It is an axiom that parallel lines never meet in Euclidean geometry. Never.
However in another kind of geometry (can't remember name) it states that parallel lines will eventually meet.
Take a look at this picture in the related link, below.
Technically the lines are parallel (in theory, they have imperfections), but due to our perspective parallel lines appear to meet. Note: If they really do meet, then you could drive down the road and eventually there would not be a road, anymore.
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If two circles are drawn using the same centre, the two lines of the circles are parallel as they don't meet each other.Two straight lines (think of railway tracks) are drawn next to each other, but never meet, they are parallel lines.
A pair of parallel lines never meet, however perpendicular lines meet at a 90 degree angle. Your question isn't all that clear tho.... meaning they are opposite because parallels never meet and perpendiculars do.Parallel lines are lines that never intersect, no matter how far they extend in either direction. Perpendicular lines intersect perfectly straight, at a 90 degree angle.
Parallels of Latitude
Parallels are lines that run the same direction and are the always the same distance apart. On a map (and the Earth) the lines of latitude (measurement North and South of the equator) are parallel.
latitude lines is another name for parallels and longitude lines are called meridians