(c) select all that describe $\overline{qs}$.

perpendicular bisector of $\overline{pr}$
angle bisector of $\angle q$
median of $\delta pqr$
altitude of $\delta pqr$
none of the above

Question

(c) select all that describe $\overline{qs}$.

perpendicular bisector of $\overline{pr}$
  angle bisector of $\angle q$
  median of $\delta pqr$
  altitude of $\delta pqr$
  none of the above

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Triangle Segments", "Perpendicular Bisector" ], "new_concepts": [], "current_concepts": [ "Triangle Segments", "Perpendicular Bisector" ] } ## Analyze the geometric markings on segment QS $$ \begin{aligned} &\overline{QS} \perp \overline{PR} \quad (\text{indicated by the right-angle symbol at } S) \ &S \text{ is not marked as the midpoint of } \overline{PR} \quad (PS eq SR \text{ is not given}) \ &\angle PQS \text{ is not marked congruent to } \angle RQS \end{aligned} $$ ## Evaluate each description option $$ \begin{aligned} &\text{Perpendicular bisector of } \overline{PR}: \text{False (requires } S \text{ to be the midpoint)} \ &\text{Angle bisector of } \angle Q: \text{False (no angle congruence marked)} \ &\text{Median of } \Delta PQR: \text{False (requires } S \text{ to be the midpoint)} \ &\text{Altitude of } \Delta PQR: \text{True (segment from vertex } Q \text{ perpendicular to opposite side } \overline{PR}) \end{aligned} $$

Perpendicular bisector of $\overline{PR}$

Angle bisector of $\angle Q$

Median of $\Delta PQR$

Altitude of $\Delta PQR$

None of the above

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Segments" ] }

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QUESTION IMAGE

Question

Explanation:

Analyze the geometric markings on segment QS

Evaluate each description option

Answer: