Final answer:
The property that justifies the statement △xyz≅△abc and △abc≅△pqr, so △xyz≅△pqr is the transitive property.
Step-by-step explanation:
The property that justifies the statement △xyz≅△abc and △abc≅△pqr, so △xyz≅△pqr is the transitive property.
The transitive property states that if a = b and b = c, then a = c. In this case, the congruence of triangles is transitive, meaning that if triangle xyz is congruent to triangle abc and triangle abc is congruent to triangle pqr, then triangle xyz is congruent to triangle pqr.
This property is used in geometry to prove the congruence of geometric figures by establishing a chain of congruence relationships.