Question

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

Explanation:

Step1: Recall Definitions

• Altitude: A perpendicular segment from a vertex to the opposite side (or its extension).
• Median: A segment from a vertex to the midpoint of the opposite side.
• Perpendicular Bisector: A line/segment that is perpendicular to a segment and bisects it (passes through the midpoint).

Step2: Analyze \( \overline{DF} \)

• Check midpoint: \( CF = 70 \), \( FE = 48 \). Since \( 70

eq 48 \), \( F \) is not the midpoint of \( CE \). So \( \overline{DF} \) is not a median (needs midpoint) or perpendicular bisector (needs midpoint and perpendicularity).

• Check perpendicularity: The diagram doesn't show \( \overline{DF} \perp \overline{CE} \), and \( F \) isn't the midpoint, so it's not an altitude (needs perpendicularity to the side).

Step3: Conclude

Since \( \overline{DF} \) doesn't satisfy the definitions of altitude, median, or perpendicular bisector, the correct term is "none of these".

Answer:

none of these