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
A
B
 PA > PB
 PA = PB
 PA + PB = 0
 PA < PB
P
12. PA and PB are tangent to the circle.  Find the value       of x and the length of PB.
11.1
A
B
x + 7
2x - 3
PB = 
x = 
P
13. PA and PB are tangent to the circle.  Find the value      of x and the length of PA.
11.1
A
B
2x2 - 12
x2 + 13
PA = 
x = 
P
11.1
14. BC is tangent to circle A at point B, what       do you know is true about m∡ABC?
A
B
C
 m∡ABC = 180o
m∡ABC = acute
 m∡ABC = 90o
11.1
15. CD and CB are tangent to circle A.      If the m∡DCB = 38o,  find the m∡A.
A
D
B
38
C
m∡A =
o
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