Corresponding Angles Postulate

Pronunciation: /ˌkɒr.əˈspɒn.dɪŋ ˈæŋ.gəlz ˈpɑs.tʃə.lət/ Explain

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.

References

1. McAdams, David E.. All Math Words Dictionary, Corresponding Angles Postulate. 2nd Classroom edition 20150108-4799968. pg 48. Life is a Story Problem LLC. January 8, 2015. Buy the book

More Information

• McAdams, David E.. Transversal. allmathwords.org. Life is a Story Problem LLC. 6/27/2018. https://www.allmathwords.org/en/t/transversal.html.

Cite this article as:

McAdams, David E. Corresponding Angles Postulate. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/c/corranglespostulate.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
5/5/2011: Initial version. (McAdams, David E.)