Question

1. $\triangle efg cong \triangle square$ by $square$

Explanation:

1. Identify corresponding congruent parts:

• $\angle F = \angle H$ (right angles, marked congruent)
• $\angle E = \angle I$ (marked congruent)
• $\angle EGF = \angle IGH$ (vertical angles are congruent)

1. Match the triangle using AAS congruence: The given triangle is $\triangle EFG$, so the corresponding triangle with two congruent angles and a non-included side is $\triangle IHG$. The congruence shortcut using two angles and a non-included side is AAS (Angle-Angle-Side).

Answer:

$\triangle EFG \cong \boldsymbol{\triangle IHG}$ by $\boldsymbol{AAS}$