Question

select a term for each blank box to complete the proof showing that \\( \triangle abc \cong \triangle cda \\).
by the____property of congruence it can be shown that \\( ac \cong ca \\).
transitive
symmetric
reflexive

Explanation:

The reflexive property of congruence states that any geometric figure is congruent to itself. In this case, the segment \(AC\) is congruent to itself (\(AC\cong CA\)) because of this property. The symmetric property would be if \(A\cong B\) then \(B\cong A\). The transitive property would be if \(A\cong B\) and \(B\cong C\) then \(A\cong C\). Since we are dealing with a single segment being congruent to itself, the reflexive property is the correct one.

Answer:

Reflexive