Answer :

You can tell that AE, CD and BF are then medians of the triangle, because

[tex]CE=EB,\quad AD=DB,\quad CF=FA[/tex]

So, point O is the centroid of the triangle, since that is the name of the intersection point of the medians.

tramserran

Answer:  Centroid

Step-by-step explanation:

Median is the line segment from the vertex to the midpoint of the opposite side. Note that midpoint is the point that bisects the side thus creating two congruent (equal) line segments.

  • The intersecting point of the Medians is the Centroid

Altitude is the line segment from the vertex forming a perpendicular (right angle) with the opposite side.

  • The intersecting point of the Altitudes is the Orthocenter

Angle bisector is the line segment that divides the vertex angle into two congruent (equal) angles.

  • The intersecting point of the Angle Bisectors is the Incenter

Perpendicular bisector is the line segment from the midpoint of a side forming a perpendicular (right angle) with the opposite side.

  • The intersecting point of the Perpendicular Bisectors is the Circumcenter

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