Question

segment ab is congruent to segment ab. this statement shows the ______ property. reflexive symmetric transitive substitution

Explanation:

• Reflexive property: A quantity is congruent (or equal) to itself. Here, segment \(AB\) is congruent to segment \(AB\), which fits the definition of the reflexive property.
• Symmetric property: If \(a = b\), then \(b=a\). This is about the relationship between two different quantities, not a quantity and itself.
• Transitive property: If \(a = b\) and \(b = c\), then \(a=c\). It involves three quantities, not one.
• Substitution property: If \(a = b\), then \(a\) can be substituted for \(b\) in an equation. This is not relevant to a quantity being congruent to itself.

Answer:

reflexive