Proposed Problem

Click the figure below to see the complete problem 380 about Triangle, Excenter, Parallel to a side, Angle, Congruence.

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Complete Geometry Problem 380

Level: High School, SAT Prep, College geometry

## Wednesday, October 28, 2009

### Problem 380. Triangle, Excenter, Parallel to a side, Angle, Congruence

Labels:
angle,
angle bisector,
congruence,
excenter,
isosceles,
parallel,
triangle

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AE as bisector, and AC // FE give AF = FE, so have to prove CG = GE

ReplyDeleteCE is bisector of ang GCP ( EP perpendicular to AC )

=> ang GCE = ang ECP (1)

ang ECP = ang CEG (2) ( CP // GE )

from 1 and 2

ang GCE = ang GEC

=> GC = GE