Segment Relationships in Circles - Pearland High School
Name: Lido
Notes-14.4
Date:
Segment Relationships in Circles
Period:
Chord --Chord Theorem
If two chords intersect inside a circle, then the roductS
of the lengths c
of the segments of the chords are equal.
D
EX 1: Find the value of x and the length of each chord.
a) c
6
3
CE?ED = BE
b)
1 HG.?J=kG
61
9
x
x E2
D
K68
12: x
-a part of a secant line with at least one point on the circle.
Secant --Secant Product Theorem
If two secants intersect in the exterior of a circle, then the product
of the lengths of one secant segment and its external segment
equals the product of the lengths of the other secant segment and
its external segment.
CEDE =
c
EX 2: Find the value of x and the length of each secant segment
a)
xc
b)
Ch'bR
5
6
6
72 = osx
8
S x
RP = (JPeTP
14?62
6
p
7
Name:
Notes-14.4
Date:
Period:
- a segment of a tangent line with exactly one endpoint on the circle.
Secant --Tangent Theorem
If a secant and a tangent intersect in the exterior of a circle, then the
product of the lengths of the secant segment and its external segment
Dic equals the length of the tangent segment squared. AC ??c
c
EX 3: Find the value of x.
a)
5c
2
x
(2+x)2 = g 2
b)
6
c hC?BC =DCt
x
Practice Problems: 1. Given AD = 12. Find the Value of x and the length of egch chord.
14
x c
3. Find the value of the variable.
2. Find the value of x and the length of each secant segment.
5.4
5
4S
x
5
c
2
x
................
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