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Which property justifies the following statement? If ∠1 = ∠2 and ∠2 = ∠3, then ∠1 = ∠3.

A. Symmetric Property of Congruence
B. Reflexive Property of Congruence
C. Transitive Property of Congruence
D. Distributive Property

1 Answer

3 votes

Final answer:

The Transitive Property of Congruence justifies the statement that if two corresponding angles are congruent, then their corresponding angles are congruent as well.

Step-by-step explanation:

The property that justifies the statement “If ∠1 = ∠2 and ∠2 = ∠3, then ∠1 = ∠3” is the Transitive Property of Congruence (Option C).

The Transitive Property of Congruence states that if two angles are congruent to the same angle, then they are congruent to each other. In this case, since ∠1 and ∠2 are congruent, and ∠2 and ∠3 are congruent, we can conclude that ∠1 and ∠3 are also congruent.

For example, if ∠1 measures 60 degrees and ∠2 measures 60 degrees, and ∠2 measures 60 degrees and ∠3 measures 60 degrees, then we can say that ∠1 measures 60 degrees and ∠3 measures 60 degrees.

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