Question

use the congruency statement to fill in the corresponding congruent parts. 6. △efi≅△hgi ∠e≅∠__ (overline{fi}cong) (overline{fe}cong) ∠fie≅∠ ∠efi≅∠ (overline{ie}cong)__

Explanation:

Step1: Recall congruent - triangle property

Corresponding parts of congruent triangles are congruent (CPCTC).

Step2: Identify corresponding vertices

For $\triangle EFI\cong\triangle HGI$, $E$ corresponds to $H$, $F$ corresponds to $G$, and $I$ corresponds to $I$.

Step3: Find corresponding angles

$\angle E$ corresponds to $\angle H$, $\angle EFI$ corresponds to $\angle HGI$, $\angle FIE$ corresponds to $\angle GIH$.

Step4: Find corresponding sides

$\overline{FE}$ corresponds to $\overline{HG}$, $\overline{FI}$ corresponds to $\overline{GI}$, $\overline{IE}$ corresponds to $\overline{IH}$.

Answer:

• $\angle E\cong\angle H$
• $\overline{FE}\cong\overline{HG}$
• $\angle EFI\cong\angle HGI$
• $\overline{FI}\cong\overline{GI}$
• $\angle FIE\cong\angle GIH$
• $\overline{IE}\cong\overline{IH}$