Corresponding Parts of Congruent Triangles are Congruent

Pronunciation: /ˌkɒr.əˈspɒn.dɪŋ pɑɹtz ʌv kənˈgru.ənt ˈtraɪˌæŋ.gəlz ɑɹ kənˈgru.ənt/ Explain
Abbreviation: CPCTC

Click on the blue points and drag them to change the figure. Are the any configurations of the congruent triangles where the corresponding parts are not congruent? Manipulative 1 - Corresponding Parts of Congruent Triangles are Congruent Created with GeoGebra.

CPCTC is an abbreviation of the phrase, 'Corresponding parts of congruent triangles are congruent.' This means if two triangles are the same, then each of their corresponding parts are also the same.

References

1. McAdams, David E.. All Math Words Dictionary, CPCTC. 2nd Classroom edition 20150108-4799968. pg 50. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Ray C. Jurgensen, Richard G. Brown and John W. Jurgensen. Geometry. pp 117-118. Houghton Mifflin McDougal Littell. January 2000. Last Accessed 6/25/2018. Buy the book

Cite this article as:

McAdams, David E. Corresponding Parts of Congruent Triangles are Congruent. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/c/cpctc.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.)
1/21/2010: Added "References". (McAdams, David E.)
12/2/2008: Initial version. (McAdams, David E.)