Points of Concurrency

Points of Concurrency
Points of
concurrency
(in
Acronym
alphabetical
order)
Intersection of
the 3…
Significance
of P.O.C.
Inside/Outsi
de Triangle?
Diagram
Centroid
My
Medians
Connects a vertex to
opposite side’s
midpoint.
Centroid is the
center of gravity
Centroid divides
the median into
two parts:
2/3 and 1/3
Always inside
Circumcenter
Parents
Bought
Perpendicular
Bisector:
Perpendicular to and,
divides side (segment)
into two congruent
parts. Goes through
the midpoint of
segment.
Angle Bisectors
divides interior angle
of triangle into two
congruent parts
Circumcenter is
equidistant from
the three vertices
of triangle.
Any point on P.B.
is equidistant from
endpoints of
segment.
Incenter is
equidistant from
the three sides.
Must be
perpendicular
distance.
Circumscribed
Circle: all 3 vertices
of triangle are on
circle
Acute: Inside
Altitude
Segment drawn from
a vertex,
perpendicular to side
opposite that vertex
Altitude is the
height of the
triangle when the
opposite side is
considered the
base.
Incenter
Amazingly
Brilliant
Orthocenter
Aliens
Right: on
Hypothenuse
Obtuse: Outisde
Inscribed circle:
circle touches each
side exactly once.
Always inside
Acute: Inside
Right: On vertex
of right angle
Obtuse: Outisde