Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.
Click the figure below to see the complete problem 666.
Friday, September 9, 2011
Problem 666: Intersecting Circles, Secant, Tangent, Concyclic points, Mind Map
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angle CBD + angle CED
ReplyDelete= (angle CBA + angle ABC)+ angle CED
= angle ECD + angle EDC + angle CED (*)
= 180 degrees
=> E, C, B, D are concyclic
(*)angle between chord and tangent = angle in the
alternate segment
from previous problem, <ABE= <CDE-<ECD, and it is known that <ABD=<CDE, thus <EBD=<ECD and we are done.
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