Identify the property that justifies the following statement:
If ∠1 ≅ ∠2, then ∠2 ≅ ∠1
a. Reflexive Property of Congruence
b. Reflexive Property of Similarity
c. Symmetric Property of Congruence
d. Symmetric Property of Similarity
c. Symmetric Property of Congruence
The property that justifies the statement "If ∠1 ≅ ∠2, then ∠2 ≅ ∠1" is the Symmetric Property of Congruence.
To understand this property, we need to know what congruence means. Two angles are said to be congruent if they have the same measure.
The Symmetric Property of Congruence states that if two angles are congruent, then the order in which they are written does not matter. In other words, if ∠1 ≅ ∠2, then ∠2 ≅ ∠1.
This property is important in geometry because it allows us to rearrange congruent angles and apply them in different ways when solving problems or proving theorems.
So, the answer is c. Symmetric Property of Congruence.