Question

Select all that describe bar (HI). Perpendicular bisector of bar (FG), Angle bisector of H, Median of FGH, Altitude of FGH.

Answer 1

Bar (HI) is both the perpendicular bisector of line segment FG and the altitude of triangle FGH.

Step-by-step explanation:

To determine which descriptions accurately describe bar (HI), we need to understand what each term means.

1. A perpendicular bisector of line segment FG is a line that intersects FG at its midpoint and forms right angles with FG. Therefore, bar (HI) must be perpendicular to FG at its midpoint.
2. An angle bisector of angle H is a line that divides the angle into two congruent angles. Therefore, bar (HI) must divide angle H into two equal angles.
3. A median of triangle FGH is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. Therefore, bar (HI) must connect vertex F to the midpoint of side GH.
4. An altitude of triangle FGH is a perpendicular line segment from a vertex of the triangle to the opposite side or its extension. Therefore, bar (HI) must be a line segment from vertex H to side FG or its extension, making a right angle with FG.

Based on these definitions, the statements that describe bar (HI) are: the perpendicular bisector of line segment FG and the altitude of triangle FGH.