Question

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

Explanation:

The reflexive property of congruence states that any geometric figure is congruent to itself. Here, segment \( AB \) is congruent to itself (\( AB \cong AB \)), so this is the reflexive property. Symmetric is \( \text{if } A \cong B, \text{then } B \cong A \), transitive is \( \text{if } A \cong B \text{ and } B \cong C, \text{then } A \cong C \), and substitution is for replacing values.

Answer:

reflexive