QUESTION IMAGE
Question
pq ≅ qr.
which term describes sq?
median altitude
angle bisector none of these
Step1: Recall definitions
- Median: A segment from a vertex to the midpoint of the opposite side.
- Altitude: A perpendicular segment from a vertex to the opposite side (or its extension).
- Angle bisector: A segment that divides an angle into two equal angles.
Step2: Analyze given info
Given \( \overline{PQ} \cong \overline{QR} \), so \( Q \) is the midpoint of \( \overline{PR} \). \( \overline{SQ} \) connects vertex \( S \) to midpoint \( Q \) of \( \overline{PR} \).
Step3: Match with definitions
Since \( Q \) is the midpoint of \( \overline{PR} \), \( \overline{SQ} \) is a median (connects vertex to midpoint of opposite side). It's not necessarily an altitude (no info about perpendicularity) or angle bisector (no info about angle division).
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