Home Geometry Problems All Problems SAT Post a comment
Problem 380. Triangle, Excenter, Parallel to a side, Angle, Congruence.
Level: High School, College, SAT Prep.

The figure shows a triangle ABC with the excenter E (point of intersection of one of the internal angle bisectors and two of the external angle bisectors). If line EGF is parallel to AC, prove that FG = AF - CG.
 

Triangle, Excenter, Parallel to side

See Also:

 

Classical Theorems

 

Geometry Jobs

 

Quadrilateral, Angle Bisectors

Proposed Problem 381.
Quadrilateral, Diagonals, Angle Bisectors, Semi-sum of Angles.
 

Triangle, Excenter, Parallel

Proposed Problem 379.
Triangle, Excenter, Parallel to a side, Angle, Congruence.
 

Triangle, Incenter, Parallel to a side

Proposed Problem 378.
Triangle, Incenter, Parallel to a side, Angle, Congruence.
  Recent Additions