Question

from the given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: △fgh, ∠f≅∠h prove: (overline{fg}congoverline{gh})

Explanation:

Step1: Identify given information

Given $\angle F\cong\angle H$ in $\triangle FGH$.

Step2: Recall relevant theorem

The Isosceles - Triangle Theorem states that in a triangle, if two angles are congruent, the sides opposite them are congruent.

Step3: Apply theorem to prove statement

Since $\angle F$ and $\angle H$ are congruent, the sides opposite them, $\overline{FG}$ and $\overline{GH}$, are congruent.

Answer:

The Isosceles - Triangle Theorem (If two angles of a triangle are congruent, then the sides opposite those angles are congruent).