Question

which property is illustrated in this statement? if ( mangle p=mangle q ), then ( mangle q=mangle p ) reflexive property: ( a = a ) symmetric property: if ( a = b ), then ( b = a ) transitive property: if ( a = b ) and ( b = c ), then ( a = c ) distributive property: ( a(b + c)=ab + ac ) symmetric property reflexive property transitive property distributive property

Explanation:

The symmetric property of equality states that if \(a = b\), then \(b=a\). In the given statement, if \(m\angle P=m\angle Q\), then \(m\angle Q = m\angle P\), which follows the form of the symmetric property. The reflexive property is \(a=a\), the transitive property is if \(a = b\) and \(b=c\), then \(a=c\), and the distributive property is \(a(b + c)=ab+ac\). None of these other properties match the given statement.

Answer:

Symmetric Property