Question

name the property that the statement illustrates.
if ( overline{xy} cong overline{uv} ), then ( overline{uv} cong overline{xy} ).
the statement illustrates the property of segment congruence.

Explanation:

The symmetric property of segment congruence states that if one segment is congruent to another segment, then the second segment is congruent to the first segment. In the given statement, since \(\overline{XY}\cong\overline{UV}\), then \(\overline{UV}\cong\overline{XY}\), which is exactly what the symmetric property of segment congruence describes.

Answer:

Symmetric