Question

1 i is the midpoint of \\( \overline { e g } \\) given
2 i is the midpoint of \\( \overline { f h } \\) given
3 \\( \overline { e h } \cong \overline { f g } \\) given
4 \\( \overline { e i } \cong \overline { g i } \\) definition of midpoint
5 \\( \overline { f i } \cong \overline { h i } \\)
6 \\( \triangle e h i \cong \triangle g f i \\) sss

Explanation:

Step1: Recall the definition of midpoint

The midpoint of a line segment divides the segment into two congruent parts.

Step2: Apply the definition to segment \(FH\)

Since \(I\) is the midpoint of \(\overline{FH}\), by the definition of midpoint, \(\overline{FI}\cong\overline{HI}\).

Answer:

Definition of midpoint