segment bisector
the point shared by a triangle's medians the point at which one can balance the triangle
the centroid is the balance point of the triangle
You construct a line perpendicular to the original and then a line perpendicular to this second line.
perpendicular line segment (apex)
~APEX~ A parallel line through a point not on the line
The centre of balance is at the point where the medians of the triangle intersect.
The centre of balance is at the point where the medians of the triangle intersect.
Segment bisector
It is the triangle's point of equilibrium or its point of balance.
The centroid - which is where the medians meet.
the point shared by a triangle's medians the point at which one can balance the triangle
the centroid is the balance point of the triangle
Yes and no. Each median divides the triangle into two such that for any point on the median, the mass on one side is balanced by the mass on the other. But the mass ahead of that point may or may not balance the mass behind. It is the point of intersection of the medians - the centroid - which is the centre of mass or centre of balance of the triangle.
You can construct a parallel to a line through a point not on the line. (perpendicular line segment)
You construct a line perpendicular to the original and then a line perpendicular to this second line.
perpendicular line segment (apex)
~APEX~ A parallel line through a point not on the line