Question

which property is shown? if ( mangle abc = mangle cbd ), then ( mangle cbd = mangle abc ) reflexive property substitution property symmetric property transitive property

Explanation:

The symmetric property of equality states that if \(a = b\), then \(b=a\). In the given statement, if \(m\angle ABC=m\angle CBD\), then \(m\angle CBD = m\angle ABC\), which follows the symmetric property. The reflexive property is \(a=a\), the substitution property is used for replacing one quantity with another equal quantity in an expression, and the transitive property is if \(a = b\) and \(b=c\), then \(a=c\). So, the symmetric property is shown here.

Answer:

C. symmetric property