Question

1. write pertinent congruent corresponding relationships to support your reason for triangle congruency

which postulate or theorem shows
$\triangle abc \cong \triangle def$? (lesson 5-3)

Explanation:

Step1: Identify Congruent Sides

From the diagram and given congruencies: \( AB \cong DE \), \( AC \cong DF \), \( BC \cong EF \).

Step2: Recall Triangle Congruence Postulates

The SSS (Side - Side - Side) postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. Since all three corresponding sides of \( \triangle ABC \) and \( \triangle DEF \) are congruent, we use the SSS postulate.

Answer:

SSS (Side - Side - Side) Postulate