chapter 10.6 and 10.7 secants, tangents, and angle measures and special segments in a circle
TRANSCRIPT
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CHAPTER 1
0.6 A
ND 10.7
SECANTS
, TANGENTS
, AND A
NGLE
MEASURES AND
SPECIA
L SEGMEN
TS IN
A C
IRCLE
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A secant is a line that intersects a circle in exactly two points.
SECANT
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CONCEPT
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Use Intersecting Chords or Secants
A. Find x.
Answer: x = 82
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Use Intersecting Chords or Secants
B. Find x.
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C. Find x.
Use Intersecting Chords or Secants
Answer: x = 95
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A. 92
B. 95
C. 97
D. 102
B. Find x.
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A. 96
B. 99
C. 101
D. 104
C. Find x.
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A. 92
B. 95
C. 98
D. 104
A. Find x.
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CONCEPT
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Use Intersecting Secants and Tangents
A. Find mQPS.
Answer: mQPS = 125
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B.
Use Intersecting Secants and Tangents
Answer:
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A. 98
B. 108
C. 112.5
D. 118.5
A. Find mFGI.
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A. 99
B. 148.5
C. 162
D. 198
B.
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CONCEPT
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Use Tangents and Secants that Intersect Outside a Circle
A.
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Use Tangents and Secants that Intersect Outside a Circle
B.
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A. 23
B. 26
C. 29
D. 32
A.
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A. 194
B. 202
C. 210
D. 230
B.
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EXAMPLE 4Apply Properties of Intersecting Secants
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CONCEPT
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CONCEPT
When two chords intersect inside a circle, each chord is divided into two segments, called chord segments.
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Use the Intersection of Two Chords
A. Find x.
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EXAMPLE 1Use the Intersection of Two Chords
B. Find x.
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A. 12
B. 14
C. 16
D. 18
A. Find x.
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EXAMPLE 1
A. 2
B. 4
C. 6
D. 8
B. Find x.
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CONCEPT
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Use the Intersection of Two Secants
Find x.
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A. 28.125
B. 50
C. 26
D. 28
Find x. Needs to be changed!
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CONCEPT
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EXAMPLE 4Use the Intersection of a Secant and a Tangent
LM is tangent to the circle. Find x. Round to the nearest tenth.
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A. 22.36
B. 25
C. 28
D. 30
Find x. Assume that segments that appear to be tangent are tangent.