*15. In the figure, circle ABD and CBD cut at points B and D. EF and EG are tangents to the circle ABD at point A and the circle CBD at point C respectively, ABC and DBE are straight lines. (a) Prove that A, D, C, E are concyclic. (b) Prove that AE = CE. (c) If point H is the circumcentre of AACD, is EH perpendicular to AC? Explain your answer. D F G D Correction E B
*15. In the figure, circle ABD and CBD cut at points B and D. EF and EG are tangents to the circle ABD at point A and the circle CBD at point C respectively, ABC and DBE are straight lines. (a) Prove that A, D, C, E are concyclic. (b) Prove that AE = CE. (c) If point H is the circumcentre of AACD, is EH perpendicular to AC? Explain your answer. D F G D Correction E B
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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