Question

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

Explanation:

• The reflexive property states that any geometric figure (like a segment) is congruent (or equal in the case of numbers) to itself. Here, segment \(AB\) is congruent to segment \(AB\), which directly follows the reflexive property.
• The symmetric property is if \(a = b\) (or \(a\cong b\)), then \(b=a\) (or \(b\cong a\)). This is not the case here as we are not swapping two different elements.
• The transitive property is if \(a = b\) and \(b = c\), then \(a = c\). There are no three - element relationships shown in the given statement.
• The substitution property is about replacing a variable or element with its equal value in an expression. This is not relevant to the congruence of a single segment to itself.

Answer:

reflexive