Question

26 multiple choice 1 point identify the property that represents the statement. if (mangle x = mangle y), then (mangle y = mangle x). reflexive property of equality symmetric property of equality transitive property of equality reflexive property of congruence symmetric property of congruence transitive property of congruence

Explanation:

The symmetric property of equality states that if a = b, then b = a. Here, since \(m\angle X=m\angle Y\) implies \(m\angle Y = m\angle X\), it follows the symmetric property of equality. The statements are about equality of angle - measures, not congruence. Congruence is about geometric figures being the same shape and size, while equality here is about the numerical values of the angle - measures.

Answer:

B. Symmetric Property of Equality