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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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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
Transcribed Image Text: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
Transcribed Image Text: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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