Question

1. if ∠1≅∠2 and ∠2≅∠4, what property allows you to state that ∠1≅∠4?

distributive property of congruence
reflexive property of congruence
transitive property of congruence
symmetric property of congruence

Explanation:

The transitive property of congruence states that if $\angle1\cong\angle2$ and $\angle2\cong\angle4$, then $\angle1\cong\angle4$. It is a fundamental property in geometry for relating congruent angles (or other congruent geometric figures). The reflexive property is about an element being congruent to itself, the symmetric property is about reversing the order of congruence ($\angle A\cong\angle B$ implies $\angle B\cong\angle A$), and there is no distributive - like property for congruence in this context.

Answer:

C. Transitive Property of Congruence