Triangle Congruence

Triangle Congruence

Author: Kelsey Hennen

This packet will explain the following theorems:

This packet uses note sheets and examples to help explain the Triangle Congruence Theorems and includes a worksheet for extra practice.

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 over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

25 Sophia partners guarantee credit transfer.

226 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 20 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


Key Terms

Corresponding Parts - the sides and angles of the  two (or more) polygons that are congruent.

Congruent Shapes - all of the sides and angles of two (or more) polygons are congruent.






NOTICE!! There is no such thing as Side-Side-Angle Theorem!!!

To help you remember just think about how it would be inappropriate to put this theorem

backwards in math textbooks, in this packet, and in your homework!


So why do I need to know these!?

All of these theorems are going to be very useful for you when you move on to proofs....if you can

show that all three sides of two trianges are congruent, then you can prove that the triangles are

congruent using SSS.  In other words, knowing these theorems will help you throughout geometry.

Triangle Congruence Theorems

Answers for Practice