Question

look at the diagram. which term describes \\( \overline { f h } \\)? angle bisector altitude perpendicular bisector none of these

Explanation:

Step1: Recall the definition of an angle bisector

An angle bisector is a ray that divides an angle into two equal parts.

Step2: Check the given angles

Here, \(\angle GFE\) is divided into \(\angle GFH = 42^{\circ}\) and \(\angle HFE=45^{\circ}\). Since \(42^{\circ}
eq45^{\circ}\), \(FH\) is not an angle bisector.

Step3: Recall the definition of an altitude

An altitude is a perpendicular segment from a vertex to the line containing the opposite side. There is no indication that \(FH\perp GE\) (no right - angle symbol).

Step4: Recall the definition of a perpendicular bisector

A perpendicular bisector is a line that is perpendicular to a segment and bisects it. There is no information about \(FH\) being perpendicular to \(GE\) or bisecting \(GE\).

Answer:

none of these