true or false? the blue radius is perpendicular to the green chord.
a. true
b. false

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Perpendicular Bisector of a Chord" ], "new_concepts": [], "current_concepts": [ "Perpendicular Bisector of a Chord", "Chord Definition", "Radius of Circle" ] } ## Analyze the segments of the chord $$ \begin{aligned} &\text{Segment 1} = 7.1 \ &\text{Segment 2} = 7.3 \ &7.1 eq 7.3 \end{aligned} $$ ## Apply the perpendicular bisector theorem $$ \begin{aligned} &\text{If a radius is perpendicular to a chord, then it bisects the chord.} \ &\text{Since the chord is not bisected } (7.1 eq 7.3)\text{, the radius is not perpendicular to the chord.} \end{aligned} $$

A. True

B. False

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Perpendicular Bisector of a Chord" ] }

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Question

Explanation:

Analyze the segments of the chord

Apply the perpendicular bisector theorem

Answer: