Question

name the property that the statement illustrates. if $overline{pq}congoverline{st}$ and $overline{st}congoverline{uv}$, then $overline{pq}congoverline{uv}$. the statement illustrates the property of segment congruence. reflexive symmetric transitive

Explanation:

The transitive property of segment 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, since $\overline{PQ}\cong\overline{ST}$ and $\overline{ST}\cong\overline{UV}$, then $\overline{PQ}\cong\overline{UV}$, which follows the transitive property.

Answer:

Transitive