Question

choose the correct answer.
which property is illustrated in this statement?
$m\angle a = m\angle a$
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: $a(b + c) = ab + ac$
transitive property
symmetric property
distributive property
reflexive property

Explanation:

The reflexive property states that any quantity is equal to itself. In the given statement \(m\angle A = m\angle A\), the measure of angle \(A\) is equal to itself. This directly matches the definition of the reflexive property (\(a = a\)). The symmetric property involves swapping sides (\(a = b\) implies \(b = a\)), the transitive property involves a chain (\(a = b\) and \(b = c\) implies \(a = c\)), and the distributive property is about multiplication over addition (\(a(b + c)=ab+ac\)). None of these other properties fit the given equation \(m\angle A = m\angle A\).

Answer:

Reflexive Property