Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: ∠r ≅ ∠w and ∠w ≅ ∠s prove: ∠r ≅ ∠s

Explanation:

Step1: Recall the Transitive Property

The Transitive Property of Congruence states that if $\angle A\cong\angle B$ and $\angle B\cong\angle C$, then $\angle A\cong\angle C$.

Step2: Apply to given angles

Given $\angle R\cong\angle W$ and $\angle W\cong\angle S$, by the Transitive Property of Congruence, we can conclude $\angle R\cong\angle S$.

Answer:

The property that justifies the prove statement is the Transitive Property of Congruence. So, assuming one of the options is "Transitive Property of Congruence", that would be the correct answer. Since the options are not fully visible with their full - text, if we had to pick from the general knowledge of properties:

1. If we assume the options are:

• A. Reflexive Property
• B. Symmetric Property
• C. Transitive Property
• D. Substitution Property
• E. Other property

The correct answer is C. Transitive Property.