1. 10.6 Segment Lengths in Circles February 21, 2012
Bellwork
115 25
52 x = 81;
y = 40.5
HW pg. 692 #3­18 1

2. 10.6 Segment Lengths in Circles February 21, 2012
10.6 Segments Lengths in Circles
Segments of the chord: 2 chords intersected inside the circle
Segments of Chords: If 2 chords intersect inside circle, then the
product of lengths of 1 chord = product of length of other chord
C
A EA * EB = EC * ED
E
Proportional?
B
D
HW pg. 692 #3­18 2

3. 10.6 Segment Lengths in Circles February 21, 2012
Secant Segment: contains chord and has exactly one endpoint outside circle
External Segment: part of secant that is outside circle
secant segment
external segment
tangent segment
Segments of Secants Theorem: If 2 secant segments share same endpoint outside circle,
then the product of the lengths of 1 secant segment and its external segment =
product of lengths of other secant segment and its external segment.
B
EA * EB = EC * ED
A
D
C
E
HW pg. 692 #3­18 3

4. 10.6 Segment Lengths in Circles February 21, 2012
Segments of Secants & Tangents Theorem: If a secant seg. & tangent seg.
share endpoint outside circle, then lengths of secant seg. * its external
segment = (length of tangent seg)2
D
C
EA2 = EC * ED
E
A
HW pg. 692 #3­18 4

5. 10.6 Segment Lengths in Circles February 21, 2012
HW pg. 692 #3­18 5

6. 10.6 Segment Lengths in Circles February 21, 2012
10.6
HW
pg.
692
#3
‐18
HW pg. 692 #3­18 6