Transversal line

Transversal line

In geometry, a transversal line is a line that passes through two or more other coplanar lines at different points.

In Euclidean geometry if lines "a" and "b" are parallel, and line "t" intersects lines "a" and "b", then corresponding angles formed by line "t" and the parallel lines are congruent.

Alternate Angles

A transversal line creates alternate angles. The alternate interior angles are on opposite sides of the transveral line and inside the lines being transversed. Alternate exterior angles are on opposite sides of the transferal line and outside the lines being transversed.

See this

A line which intersects 2 or more coplanar lines at different points is called a Transversal.

External links

* [http://www.mathwarehouse.com/geometry/angle/interactive-transveral-angles.php Transversal and Angles] Interactive transversal with color coded angles (corresponding, alternate interior etc..)
* [http://www.mathopenref.com/transversal.html Definition and properties of a transversal line] With interactive animation
* [http://www.mathopenref.com/anglescorresponding.html Corresponding angles associated with a transversal line] With interactive animation
* [http://www.mathopenref.com/anglesalternateinterior.html Alternate interior angles associated with a transversal line] With interactive animation
* [http://www.mathopenref.com/anglestransinterior.html Interior angles associated with a transversal line] With interactive animation
* [http://www.mathopenref.com/anglestransexterior.html Exterior angles associated with a transversal line] With interactive animation


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Look at other dictionaries:

  • transversal Geometry — [tranz və:s(ə)l, trα:nz , ns ] adjective (of a line) cutting a system of lines. noun a transversal line. Derivatives transversality noun transversally adverb Origin …   English new terms dictionary

  • Transversal — Trans*ver sal, a. [Cf. F. transversal. See {Transverse}.] Running or lying across; transverse; as, a transversal line. {Trans*ver sal*ly}, adv. [1913 Webster] …   The Collaborative International Dictionary of English

  • Transversal (geometry) — A transversal cutting two parallel lines In geometry, a transversal is a line that passes through two or more other lines in the same plane at different points. When the lines are parallel, as is often the case, a transversal produces several… …   Wikipedia

  • transversal — 1. adjective Running or lying across; transverse; as, a transversal line. 2. noun a) A line which traverses or intersects any system of other lines transversely. b) A set containing one …   Wiktionary

  • transversal — adj. & n. adj. (of a line) cutting a system of lines. n. a transversal line. Derivatives: transversality n. transversally adv. Etymology: ME f. med.L transversalis (as TRANSVERSE) …   Useful english dictionary

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  • Transversal — Trans*ver sal, n. [Cf. F. transversale.] (Geom.) A straight line which traverses or intersects any system of other lines, as a line intersecting the three sides of a triangle or the sides produced. [1913 Webster] …   The Collaborative International Dictionary of English

  • transversal — [trans vʉr′səl, tranzvʉr′səl] adj. [ME < ML transversalis] TRANSVERSE n. a line that intersects two or more other lines transversally adv …   English World dictionary

  • Transversal (instrument making) — Transversals are a geometric construction on a scientific instrument to allow a graduation to be read to a finer degree of accuracy. Transversals have been replaced in modern times by vernier scales. Contents 1 History 2 Linear transversals 3… …   Wikipedia

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