Proposed Problem
Click the figure below to see the complete problem 337 about Isosceles Trapezoid inscribed in a circle, Angle bisector, Parallel, Concyclic points.
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Complete Problem 337
Level: High School, SAT Prep, College geometry
Saturday, August 15, 2009
Problem 337. Isosceles Trapezoid, Angle bisector, Parallel, Concyclic points
Labels:
angle bisector,
concyclic,
cyclic quadrilateral,
isosceles,
parallel,
trapezoid
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ang ADC + ang BCD = 180 (from ang of one side in trap)
ReplyDeleteso need to prove ang EDH(C) + ang EGH = 180
ang EDC = ang ADC + ADE (or ECD), (CE bisector)
so for ang EDC have to add ECB ( BCD - ECD )
but ECB = EBC ( equal bisector for equal ang )
so ang EGH = ang EBC (are at the same side of L1 //BC)