The outer García triangle of a nondegenerate reference triangle 
is the triangle 
obtained by reflecting
its incenter 
in the three side midpoints.
In radius vectors,
 |  |  |
(1)
|
 |  |  |
(2)
|
 |  |  |
(3)
|
This is the half-turn image of the reference triangle about the Spieker center, so it is
congruent to 
(García 2014, Dalcín and Kiss 2021).
Reflecting its vertices across the corresponding sidelines of 
gives the inner García
triangle (García 2014).
Its vertex 
is the orthocenter of 
, where 
is the excenter opposite 
, and the other two vertices
are obtained cyclically (Dalcín and Kiss 2021). Its orthocenter
is the Bevan point 
, where 
is the circumcenter of 
(Dalcín and Kiss 2021).
The outer García triangle is perspective to the García reflection triangle at the Nagel point (Dalcín and Kiss 2021).
