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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 polygon with four sides (a quadrilateral ). It has two pairs of parallel sides ( line segments which never meet if the lines were allowed to extend beyond their end points). The opposite sides of a parallelogram have the same length (they are equally long).
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.
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Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...
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