#10.1 Lines and Segments that Intersect Circles

What is the name of the circle?

• Circle A

• Circle B

• Circle HBC

• Circle DAB

Name a radius of the circle.

• $\overline{BD}$

• $\overline{HC}$

• $\overline{AG}$

• $\overline{DA}$

Name a chord of the circle.

•  $\overline{BA}$ 

• $\overline{HC}$

•  $\overline{GE}$ 

• $\overline{DA}$

Name a secant of the circle.

•  $\overline{BA}$ 

•  $\overline{FG}$ 

•  $\overline{GE}$ 

•  $\overline{CH}$ 

Name a tangent of the circle.

•  $\overline{AH}$ 

•  $\overline{DA}$ 

•  $\overline{GE}$ 

•  $\overline{CH}$ 

Is AB tangent to circle C?

• Yes, because triangle ABC is a right triangle.

• No, because triangle ABC is not a right triangle.

Point B is a point of tangency. Find the radius r of circle C.

• 6

• 7

• 8

• 9

Points B and D are both points of tangency. Find x.

• 5

• 10

• 11

• 22

Points B and D are both points of tangency. Find all values of x.

•  $-5$  
  

•  $-\frac{1}{3}$  
  

•  $-\frac{3}{2}$  and  $4$  

•  $\frac{2}{5}$  and  $-3$  
  

In the figure $\overline{AB}$  is tangent to circle C. Find the length of  $\overline{DB}$  .

• 17

• 8

• 21

• 9