$\overline{cdb}$ is a select
$\overline{cd}$ is a select
$\overline{cbd}$ is a select

Question

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Circle Vocabulary", "Parts of a Circle" ], "new_concepts": [], "current_concepts": [ "Circle Vocabulary", "Parts of a Circle" ] } ## Identify the geometric features of the circle $$ \begin{aligned} &\text{Center of the circle: } A\ &\text{Segment } CB \text{ passes through the center } A \text{ with endpoints on the circle.}\ &\text{Segment } CD \text{ has endpoints on the circle but does not pass through the center.}\ &\text{Arc } CBD \text{ is a major arc starting at } C, \text{ passing through } B, \text{ and ending at } D. \end{aligned} $$ ## Classify each specified geometric element $$ \begin{aligned} &\overline{CDB} \text{ is a semicircle (since } CB \text{ is a diameter, the arc } CDB \text{ covers exactly half the circle).}\ &\overline{CD} \text{ is a chord (a line segment connecting two points on the circle).}\ &\widehat{CBD} \text{ is a major arc (an arc of a circle having a measure greater than } 180^\circ\text{).} \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | 1 | $\overline{CDB}$ is a | semicircle | | 2 | $\overline{CD}$ is a | chord | | 3 | $\widehat{CBD}$ is a | major arc | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Circle Vocabulary" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the geometric features of the circle

Classify each specified geometric element

Answer:

No.	Problem	Answer
2	\(\overline{CD}\) is a	chord
3	\(\widehat{CBD}\) is a	major arc