Question

identify the property that represents the statement. if $overline{pq}congoverline{st}$, then $overline{st}congoverline{pq}$ reflexive property of equality symmetric property of equality transitive property of equality reflexive property of congruence symmetric property of congruence transitive property of congruence

Explanation:

The symmetric property of congruence states that if one geometric figure (in this case, a line - segment $\overline{PQ}$) is congruent to another ($\overline{ST}$), then the second is congruent to the first. The given statement "if $\overline{PQ}\cong\overline{ST}$, then $\overline{ST}\cong\overline{PQ}$" follows this property. It is not about equality of numbers (so not properties of equality), and reflexive property is about a figure being congruent to itself, and transitive property is about a chain of congruences ($a\cong b$ and $b\cong c$ implies $a\cong c$).

Answer:

E. Symmetric Property of Congruence