GEO: 11-1 QC (lines intersect circles)

1. Drag the names to their correct position on the image below.

11.1

secant

chord

radius

tangent

11.1

Point on the

interior

2. Drag the label to the correct places on the imagebelow to indentify each object.

Center

Point on the

exterior

Point of Tangency

11.1

3. Describe the circles below.

tangent circles

concentric circles

common circles

congruent circles

11.1

4. Describe the circles below.

concentric circles

tangent circles

common circles

congruent circles

11.1

5. Describe the circles below.

congruent circles

tangent circles

concentric circles

common circles

11.1

6. Describe the purple lines below.

secants

chords

diameters

tangents

7. Find the equation for the tangent line and type the coordinate for the point of tangency.

11.1

Equation of tangent line:

Point of tangency:

(no spaces)

x = -2

y = -2

x = 2

y = -2

11.1

8. Find the equation for the tangent line and the coordinate for the point of tangency.

x = 4

y = 4

Equation of

tangent line:

Point of tangency:

(no spaces)

x = 6

y = 6

11.1

9. A satellite orbits 250 miles above the surface of the earth. How far from the observation tower is thesatellite?

observation

tower

^{note: radius of}

^{earth = 4000 miles}

find this

distance

Satellite 250

miles above

earth surface

distance to the

nearest mile =

10. The moon is about 221,463 miles from the Earth. When the moon is on the horizon how far away is it?

11.1

^{note: radius of}

^{earth = 4000 miles}

person

moon

distance to the

nearest mile =

11. P is a point outside the the circle. What is true

about segment PA and segment PB?

11.1

PA > PB

PA = PB

PA + PB = 0

PA < PB

12. PA and PB are tangent to the circle. Find the value of x and the length of PB.

11.1

x + 7

2x - 3

PB =

x =

13. PA and PB are tangent to the circle. Find the value of x and the length of PA.

11.1

2x² - 12

x² + 13

PA =

x =

11.1

14. BC is tangent to circle A at point B, what do you know is true about m∡ABC?

m∡ABC = 180^o

m∡ABC = acute

m∡ABC = 90^o

11.1

15. CD and CB are tangent to circle A. If the m∡DCB = 38^o, find the m∡A.

³⁸

m∡A =

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