Question

if △efg ≅ △rst, what conclusion can be drawn about their corresponding parts? (1 point) ∠f ≅ ∠s ∠e ≅ ∠s (overline{ge}) ≅ (overline{ts}) (overline{ef}) ≅ (overline{st})

Explanation:

Step1: Recall congruent - triangle property

Corresponding parts of congruent triangles are congruent. When \(\triangle EFG\cong\triangle RST\), the order of the letters gives the correspondence. \(E\) corresponds to \(R\), \(F\) corresponds to \(S\), and \(G\) corresponds to \(T\).

Step2: Analyze angle - correspondence

For angles, \(\angle E\cong\angle R\), \(\angle F\cong\angle S\), and \(\angle G\cong\angle T\). For sides, \(\overline{EF}\cong\overline{RS}\), \(\overline{FG}\cong\overline{ST}\), and \(\overline{GE}\cong\overline{TR}\).

Answer:

\(\angle F\cong\angle S\)