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Rigid Motions & Congruent Triangles




 


Videos and lessons to help High School students learn how to use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

Common Core: HSG-CO.B.7

Related Topics:
Common Core (Geometry)

Common Core for Mathematics


When we know that two triangles are congruent, we can make conclusions about the sides and angles of the triangles.

Corresponding Parts of Congruent Triangles are Congruent (CPCTC) Theorem:
If two triangles are congruent then corresponding sides are congruent and corresponding angles are congruent.

CPCTC
Identify the corresponding angles and sides of congruent triangles.


Triangle Congruency
Identify corresponding parts of two triangles.





Side-Angle-Side Congruence by basic rigid motions.


Angle-Side-Angle Congruence by Basic Rigid Motions.



 

Congruence criteria for triangles SAS.


Base angles of isosceles triangles are equal.




Congruence criteria for triangles ASA and SSS.


Congruence criteria for triangles - AAS and HL.



 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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