In the diagram, ACDE is a cyclic quadrilateral, Lines GAB and FEHC are parallel,and line GAB is a tangent to the circle at A. Lines AD and EC meet at H.BHEDProve that(i)riangle ABD and triangle CBA are similar,(i)triangle ACH and triangle ADC are similar,(ii)AD bisccts angle CDE,(iv)ABX AH = ACx BC.%3D

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In the diagram, ACDE is a cyclic quadrilateral, Lines GAB and FEHC are paraliel, and line GAB is a tangent to the circle at A. Lines AD and EC meet at H. H. D Prove that (1) riangle ABD and triangle CBA are similar, (i) triangle ACH and triangle ADC aré similar, (iii) AD bisccts angle CDE, (iv) AB× AH = ACx BC.

In the diagram, ACDE is a cyclic quadrilateral, Lines GAB and FEHC are paraliel, and line GAB is a tangent to the circle at A. Lines AD and EC meet at H. H. D Prove that (1) riangle ABD and triangle CBA are similar, (i) triangle ACH and triangle ADC aré similar, (iii) AD bisccts angle CDE, (iv) AB× AH = ACx BC.

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

Problem 1CT

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Question

In the diagram, ACDE is a cyclic quadrilateral, Lines GAB and FEHC are parallel,
and line GAB is a tangent to the circle at A. Lines AD and EC meet at H.
B
H
E
D
Prove that
(i)
riangle ABD and triangle CBA are similar,
(i)
triangle ACH and triangle ADC are similar,
(ii)
AD bisccts angle CDE,
(iv)
ABX AH = ACx BC.
%3D

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