Question

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i is the midpoint of \\( \overline{gh} \\) and \\( \overline{fi} \perp \overline{gh} \\). complete the proof that \\( \overline{fh} \cong \overline{fg} \\).

Explanation:

Step1: Midpoint property

Since \(I\) is the midpoint of \(\overline{GH}\), by the definition of a midpoint, if a point \(I\) is the midpoint of a line segment \(\overline{GH}\), then it divides the segment into two equal parts. So, \(\overline{GI}\cong\overline{HI}\).

Answer:

Definition of midpoint.