Question

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ef ≅ fg.
which term describes hf?
angle bisector perpendicular bisector
median altitude

Explanation:

Given \(\overline{EF}\cong\overline{FG}\), so \(F\) is the mid - point of \(\overline{EG}\). In a triangle, a median is a segment from a vertex to the mid - point of the opposite side. Here, in \(\triangle HEG\), \(H\) is a vertex and \(F\) is the mid - point of \(\overline{EG}\), so \(\overline{HF}\) is a median. An angle bisector would split an angle into two equal angles (no info about angles here), a perpendicular bisector is perpendicular to a segment and bisects it (no info about perpendicularity), and an altitude is perpendicular to the opposite side (no info about perpendicularity). So the term that describes \(\overline{HF}\) is median.

Answer:

median