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