warm – up session 16 you also need to do the graduation exam packet page 2
TRANSCRIPT
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Factor Warm – up Session 16 27 xx
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You also need to do the
Graduation Exam Packet Page 2.
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AGENDA1. Tests are not
graded2. Notes 10.1 - Circles3. Class Work4. Home Work
Wed 3/1
10.2
Fri 3/3
10.3
Tue 3/7
QUIZ 10.1-10.3
Notes 10.4
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10.1 Parts of a Circle
Circle – set of all points _________ from a given point called the _____ of the circle.
C
Symbol:
equidistant
center
C
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CHORD: a segment whose ________ are on the circle
endpoints
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P
RADIUS: distance from the _____ to a point on the circle
center
Radius
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Diameter
P
DIAMETER: distance ______ the circle through its ______
center
across
Also known as the longest chord.
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What is the relationship between the diameter and the radius of a circle?
r =
OR
D =
½ D
2 r
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D = ?
r = ?
r = ? D = ?
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Use P to determine whether each statement is true or false.
P
Q
R
TS
diameter. a is .1 RT False
radius. a is .2 PS True
chord. a is .3 QT True
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Secant Line
A secant line intersects the circle at exactly TWO points.
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TANGENT: a LINE that intersects the circle exactly ONE
time
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Point of Tangenc
y
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Name the term that best describes the notation.
Secant
Radius
DiameterChord
Tangent
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Two circles can intersect…
•in two points
•one point
•or no points
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No points of intersection (different center)
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No points of intersection (same center)
Same center but different radii
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1 point of intersection(Tangent Circles)
Internally Tangent
Externally Tangent
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2 points of intersection
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Common Tangents
Internal
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Common Tangents
External
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INTERIOR
A point is inside a circle if its distance from the center is less than the radius.
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EXTERIOR
A point is outside a circle if its distance from the center is greater than the radius.
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A point is on a circle if its distance from the center is equal to the radius.
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If a line (segment or ray) is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.
Point of Tangenc
y
More Pythagorean Theorem type problems! Yeah!!
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a2 + b2 = c2
x = 15
92 + 122 = x2
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a2 + b2 = c2
RQ = 16
122 + (QR)2 = (8+12)2
122 + (QR)2 = 202
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r2 + 242 = (r + 16)2
r = 10
r2 + 576 = r2 + 32r + 256320 = 32r
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R
S
T
TSRS If two segments from
the same exterior point are tangent to a circle, then they are
congruent.
Party hat problems!
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R
S
T
22 x
11 1122 x92 x
3 3 xorx
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A
C
B152 x
x14
15x
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AC
E
3
4
7X
B
D
X
P
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TS
Q10 4
18NP
P
N
R
12
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