Geometry Problem

Click the figure below to see the complete problem 443 about Overlapping, Intersecting Circles, Common Chord, Secant line, Tangent line, Angles.

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Complete Problem 443

Level: High School, SAT Prep, College geometry

## Friday, April 30, 2010

### Problem 443: Intersecting Circles, Common Chord, Secant line, Tangent line, Angles

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m(EC,CB)=m(AC,AB)=m(DE,DB) => B,C,E,D concyclic

ReplyDeleteα=mGAB=mADB=mCEB=α', similarly β=β'

< CBD = < CBA + < DBA = < ECD + < EDC = 180 – á’-â’ ( 180 - alpha dash - beta dash)

ReplyDeleteHence BCDE is concyclic and the result follows

Sumith Peiris

Moratuwa

Sri Lanka