A line through the vertex and the side opposite - nothing more.
There need not even be a side opposite - as is the case with a square!
The segment that passes through a vertex and is perpendicular to the opposite side is called the altitude of the triangle.
vector
A median of a triangle is a line or segment that passes through a vertex and the midpoint of the side opposite that vertex. The median only bisects the vertex angle from which it is drawn when it is an isosceles triangle.
No, the perpendicular bisector of a side of a triangle does not necessarily pass through the opposite vertex. The perpendicular bisector is a line that is perpendicular to a segment at its midpoint, and it may intersect the interior or exterior of the triangle, depending on its shape. In fact, the only time a perpendicular bisector passes through the opposite vertex is in the case of an isosceles triangle, where the two sides are equal, and their perpendicular bisectors coincide with the altitude.
Eight quadrilaterals if you cut each one in two from side to side (not vertex to opposite vertex).Eight quadrilaterals if you cut each one in two from side to side (not vertex to opposite vertex).Eight quadrilaterals if you cut each one in two from side to side (not vertex to opposite vertex).Eight quadrilaterals if you cut each one in two from side to side (not vertex to opposite vertex).
The segment that passes through a vertex and is perpendicular to the opposite side is called the altitude of the triangle.
vector
A median of a triangle is a line or segment that passes through a vertex and bisects the side of the triangle opposite the vertex.
A median of a triangle is a line or segment that passes through a vertex and the midpoint of the side opposite that vertex. The median only bisects the vertex angle from which it is drawn when it is an isosceles triangle.
side
and is perpendicular to the opposite side.
median
side
perpendicular
Altitude.
Eight quadrilaterals if you cut each one in two from side to side (not vertex to opposite vertex).Eight quadrilaterals if you cut each one in two from side to side (not vertex to opposite vertex).Eight quadrilaterals if you cut each one in two from side to side (not vertex to opposite vertex).Eight quadrilaterals if you cut each one in two from side to side (not vertex to opposite vertex).
A triangle is not a segment joining a vertex and the midpoint of the side opposite the vertex.