The derivation of the secant segments theorem is shown below. Provide the reasons for eachstep.Given:Secants AC and AE intersectoutside of a circle.BE and CD have been added to thefigure.Show:(AB)(AC) = (AD)(AE)A.BDсE LA LALBCD BEDΔACD ~ ΔΑΕΒAB AEAD AC(AB)(AC) = (AD)(AE)Reason 1Reason 2Reason 3Reason 4Reason 5

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The derivation of the secant segments theorem is shown below. Provide the reasons for e step. Given: Secants AC and outside of a circle. AE intersect BE and CD have been added to the figure. Show: (AB)(AC) = (AD)(AE) A B C E

The derivation of the secant segments theorem is shown below. Provide the reasons for e step. Given: Secants AC and outside of a circle. AE intersect BE and CD have been added to the figure. Show: (AB)(AC) = (AD)(AE) A B C E

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 40E: Circles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible,...

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Question

The derivation of the secant segments theorem is shown below. Provide the reasons for each
step.
Given:
Secants AC and AE intersect
outside of a circle.
BE and CD have been added to the
figure.
Show:
(AB)(AC) = (AD)(AE)
A.
B
D
с
E

LA LA
LBCD BED
ΔACD ~ ΔΑΕΒ
AB AE
AD AC
(AB)(AC) = (AD)(AE)
Reason 1
Reason 2
Reason 3
Reason 4
Reason 5

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