Question

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

Explanation:

Step1: Recall Definitions

• Angle bisector: A line that divides an angle into two equal angles.
• Perpendicular bisector: A line that is perpendicular to a segment and divides it into two equal parts.
• Median: A line segment joining a vertex to the midpoint of the opposite side.

Step2: Analyze the Diagram

• The angle at \( S \) is split into \( 48^\circ \) and \( 60^\circ \), which are not equal, so \( \overline{SQ} \) is not an angle bisector.
• There's no indication that \( \overline{SQ} \) is perpendicular to \( \overline{PR} \) or bisects it, so it's not a perpendicular bisector.
• There's no information that \( Q \) is the midpoint of \( \overline{PR} \), so it's not a median.

Answer:

none of these