$\angle abc$ is a/an select angle. the vertex is select.

$\angle adc$ is a/an select angle. the vertex is select.

$\angle bad$ is a/an select angle. the vertex is select.

Question

$\angle abc$ is a/an select angle. the vertex is select.

$\angle adc$ is a/an select angle. the vertex is select.

$\angle bad$ is a/an select angle. the vertex is select.

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Circle Vocabulary", "Parts of a Circle" ], "new_concepts": [ "Circumscribed Angle", "Central Angle", "Tangent-Radius Angle" ], "current_concepts": [ "Circle Vocabulary", "Parts of a Circle", "Circumscribed Angle", "Central Angle", "Tangent-Radius Angle" ] } ## Identify the properties of $\angle ABC$ $$ \begin{aligned} &\text{Vertex of } \angle ABC = B \quad (\text{outside the circle } D)\ &\text{Sides } BA \text{ and } BC \text{ are tangent to circle } D\ &\angle ABC \text{ is a circumscribed angle} \end{aligned} $$ ## Identify the properties of $\angle ADC$ $$ \begin{aligned} &\text{Vertex of } \angle ADC = D \quad (\text{center of the circle})\ &\text{Sides } DA \text{ and } DC \text{ are radii of circle } D\ &\angle ADC \text{ is a central angle} \end{aligned} $$ ## Identify the properties of $\angle BAD$ $$ \begin{aligned} &\text{Vertex of } \angle BAD = A \quad (\text{on the circle})\ &\text{Side } BA \text{ is tangent to circle } D \text{ at } A\ &\text{Side } DA \text{ is a radius to the point of tangency } A\ &\angle BAD \text{ is a right angle} \end{aligned} $$ ## Question 1 $\angle ABC$ is a/an circumscribed angle. The vertex is $B$. ## Question 2 $\angle ADC$ is a/an central angle. The vertex is $D$. ## Question 3 $\angle BAD$ is a/an right angle. The vertex is $A$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Circle Vocabulary" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the properties of \(\angle ABC\)

Identify the properties of \(\angle ADC\)

Identify the properties of \(\angle BAD\)

Answer:

Question 1

Question 2

Question 3