Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

ntifying terms relating to circles identify the parts relating to ⊙a wh…

Question

ntifying terms relating to circles identify the parts relating to ⊙a what is (overrightarrow{fg})? what is (overrightarrow{db})? what is (overrightarrow{dh})? what is (overrightarrow{ac})?

Explanation:

Step1: Recall circle - related definitions

A secant is a line that intersects a circle at two points. A tangent is a line that touches a circle at exactly one point. A radius is a line - segment from the center of the circle to a point on the circle. A chord is a line - segment whose endpoints lie on the circle.

Step2: Analyze $\overrightarrow{FG}$

$\overrightarrow{FG}$ is a secant since it intersects the circle $\odot A$ at two points $F$ and $G$.

Step3: Analyze $\overrightarrow{DB}$

$\overrightarrow{DB}$ is a tangent as it touches the circle $\odot A$ at point $C$ only.

Step4: Analyze $\overrightarrow{DH}$

$\overrightarrow{DH}$ is a secant as it intersects the circle $\odot A$ at points $E$ and $H$.

Step5: Analyze $\overrightarrow{AC}$

$\overrightarrow{AC}$ is a radius as $A$ is the center of the circle and $C$ is a point on the circle.

Answer:

What is $\overrightarrow{FG}$? Secant
What is $\overrightarrow{DB}$? Tangent
What is $\overrightarrow{DH}$? Secant
What is $\overrightarrow{AC}$? Radius