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In geometry, parallel lines are coplanar infinite straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance.
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
The symbol for parallel lines is \(\parallel,\) so we can say that \(\overleftrightarrow{AB}\parallel\overleftrightarrow{CD}\) in that figure. According to the axioms of Euclidean geometry, a line is not parallel to itself, since it intersects itself infinitely often.
Parallel lines are those lines that are always the same distance apart and that never meet. The symbol used to denote parallel lines is ||. Explore more about parallel lines, equations, and angles formed by parallel lines with concepts, illustrations, examples, and solutions.
A parallelogram is a quadrilateral whose opposite sides are parallel. In the diagram of a general parallelogram above, \( AB || DC \) and \( AD || BC \). Several important properties then follow.
Jan 11, 2023 · What are parallel sides? Learn the definition of parallel sides and identify parallel shapes with parallel sides using the symbol for parallel lines.
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In geometry and mathematics, the ∥ symbol, known as the "Parallel To" symbol, is an essential notation. It indicates that two lines, planes, or other geometric entities run in the same direction without ever meeting, regardless of how far they are extended.
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