**Take
a look at this script tool to create your own.**

**What
if Pedal point P is the centroid of triangle ABC?**

**Point
P is not in the interior of triangle ABC. The dashed green lines
are the medians of triangle ABC and their point of concurrency
is the centroid. When I line up pedal point P with the centroid,
the triangle is split into 4 triangles. However, they are not
congruent since points S and R do not fall on the midpoints of
the sides.**

**What
if pedal point P is the incenter of the triangle?**

**Notice
again that the pedal point P is in the interior of the triangle.
Also notice that it is the point of concurrency of the angle bisectors
of the triangle ABC. Again, it appears that there is no concrete
relationship between the incenter and pedal point P.**

**Here
we will see how the circumcenter relates to pedal point P.**

**There
is a relationship here because when pedal point P is lined up
with the circumcenter, the pedal triangle becomes the medial triangle
and divides triangle ABC into 4 congruent triangles.**

**Here
is the construction of the orthocenter.**

**When
pedal point P is joined with the orthocenter, the perpendiculars
line up with the altitudes. However, the 4 triangles are not congruent.**

**There
does not seem to be a relationship between pedal point P and the
center of the nine point circle. Check out the drawing below.**

**When
pedal point P is dragged to the side of triangle ABC, it lines
up with the perpendicular intersection of the triangle. Look below!**

**These
diagrams are the result when pedal point P is lined up with the
vertices of triangle ABC.**