Corresponding Angles Postulate

Pronunciation: /ˌkɒr əˈspɒn dɪŋ ˈæŋ gəl ˈpɒs tʃə lɪt/ ?

Two parallel lines labeled 'a' and 'b'. A transversal line intersects both parallel lines. Eight angles formed by the intersections of the transversal with the parallel lines are labeled. On the lower intersection, starting with the upper right angle and going clockwise, the intersections are labeled 1, 2, 3, and 4. On the upper intersection, starting with the upper right angle and going clockwise, the angles are labeled 5, 6, 7, and 8.
Figure 1: Transversal.

The Corresponding Angles Congruence Postulate states that corresponding angles formed by a transversal are congruent. Corresponding angles are angles that are in the same relative positions in a transversal. In figure 1, the corresponding pairs of angles are angles 1 and 5, 2 and 6, 3 and 7, 4 and 8. Since the Corresponding Angles Congruence Postulate is an axiom, it has no proof, but is taken to be true without proof.

More Information

  • McAdams, David. Transversal. allmathwords.org. Life is a Story Problem LLC. 2010-10-13. http://www.allmathwords.org/article.aspx?lang=en&id=Transversal.

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Corresponding Angles Postulate. 2010-10-13. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/corranglespostulate.html.

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2010-10-13: Initial version (McAdams, David.)

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