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Transversal line

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Transversal t cuts two parallel lines, a and b.
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Transversal t cuts two parallel lines, a and b.

In geometry, a transversal line is a line going through two or more other coplanar lines at different points. Normally, the two lines are not only coplanar, but also parallel.


We know that a is parallel to b, so if a transversal t crosses a with angle θ, then it must also cross b with angle θ. This leads to the relationships shown in the picture; interior angles add up to 180 degrees, exterior angles add up to 180 degrees, and like angles (angles in the same position) are congruent.

Wikipedia (http://en.wikipedia.org/wiki/Main_Page) Transversal_line (http://en.wikipedia.org/wiki/Transversal_line) version history (http://en.wikipedia.org/w/index.php?title=Transversal_line&action=history) GNU Free Documentation Lizenz (http://en.wikipedia.org/wiki/Wikipedia:Text_of_the_GNU_Free_Documentation_License) CC-by-sa (http://creativecommons.org/licenses/by-sa/2.5/)

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