# 10.6 notes

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Education

Published on March 7, 2014

Author: Mrs_Hedrick

Source: slideshare.net

10.6 Segment Lengths in Circles March 07, 2014 Bellwork 25 115 52 x = 81;  y = 40.5 Feb 22­2:06 PM HW pg. 692 #3­18 1

10.6 Segment Lengths in Circles March 07, 2014 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 D Proportional?  B Feb 22­2:43 PM HW pg. 692 #3­18 2

10.6 Segment Lengths in Circles March 07, 2014 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 E D C Feb 22­3:14 PM HW pg. 692 #3­18 3

10.6 Segment Lengths in Circles March 07, 2014 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 Feb 22­3:28 PM HW pg. 692 #3­18 4

10.6 Segment Lengths in Circles March 07, 2014 Feb 22­3:35 PM HW pg. 692 #3­18 5

10.6 Segment Lengths in Circles 10.6 HW March 07, 2014 pg. 692 #3 ‐18 Feb 22­3:35 PM HW pg. 692 #3­18 6

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