Question

name the property that the statement illustrates.
if \\( \overline { p q } \cong \overline { s t } \\) and \\( \overline { s t } \cong \overline { u v } \\), then \\( \overline { p q } \cong \overline { u v } \\).
the statement illustrates the property of segment congruence.

Explanation:

The Transitive Property of Congruence states that if one segment is congruent to a second segment, and the second segment is congruent to a third segment, then the first segment is congruent to the third segment. In the given statement, $\overline{PQ}\cong\overline{ST}$ (first - second) and $\overline{ST}\cong\overline{UV}$ (second - third), so $\overline{PQ}\cong\overline{UV}$ (first - third), which matches the Transitive Property.

Answer:

Transitive