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Transitive Property of Congruence
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Definition
The Transitive Property of Congruence states that:
“If two geometric figures are each congruent to a third figure, then they are congruent to each other.”
In symbols:
If
A ≅ B
and
B ≅ C,
then
A ≅ C
Example:
If segment AB ≅ CD and segment CD ≅ EF, then segment AB ≅ EF.
This property is most often used when proving that angles or segments are congruent in two-column proofs.
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