Parallel (geometry) facts for kids
Parallel is a term in geometry and in everyday life that refers to a property of lines or planes. Parallel lines or planes are next to each other, but never touch each other. This means they never intersect at any point. If two lines and are parallel, then we describe this by writing . The slopes of parallel lines are always equal.
Even if these two line segments were extended to infinity, there would never be a point of intersection between the two of them. In fact, two parallel lines in the twodimensional plane are always a fixed distance apart.
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On the sphere there is no such thing as a parallel line. Line a is a great circle, the equivalent of a straight line in spherical geometry. Line c is equidistant to line a but is not a great circle. It is a parallel of latitude. Line b is another geodesic which intersects a in two antipodal points. They share two common perpendiculars (one shown in blue).
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In Spanish: Paralelismo (matemática) para niños