Online College Courses for Credit

Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

Author: Jonathan Heeren
Description: Know and apply properties of congruent and similar figures to solve problems and logically justify results. 

a) I can recognize congruent figures and justify

    congruency of two triangles.

b) I can recognize similar figures.

c) I can calculate lengths in similar figures using

    proportional reasoning including real-world


d) I can logically justify the similarity of two triangles.

See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial
No credit card required

29 Sophia partners guarantee credit transfer.

314 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


CPCTC Explanation

This is a great video explaining how CPCTC works with proving triangles

Corresponding Parts of Congruent Triangles are Congruent

PLease copy these notes into your notebook for credit.

CPCTC introduction


Triangle Proofs using CPCTC