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They are similar because they both have the definition of if A=B and B=C then A=C. They are different because since every parallel line is equal it shows that they do not exactly match up because of the transitive property of congruence.

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Q: What is the difference between the transitive property of congruence and parallel lines?
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Related questions

How is the Transitive Property of Parallel Lines similar to the Transitive Property of Congruence?

If A ~ B and B ~ C then A ~ C. The above statement is true is you substitute "is parallel to" for ~ or if you substitute "is congruent to" for ~.


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Congruence is basically the same as equality, just in a different form. Reflexive Property of Congruence: AB =~ AB Symmetric Property of Congruence: angle P =~ angle Q, then angle Q =~ angle P Transitive Property of Congruence: If A =~ B and B =~ C, then A =~ C


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