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A triangle is not a segment joining a vertex and the midpoint of the side opposite the vertex.
I believe the common end points are called vertices. Each separate one is called a vertex, but the plural of "vertex" is "vertices."
It is the line from a vertex of the triangle to the midpoint of the side opposite that vertex.
the top angle the angle formed by the two congruent sides
The point of a triangle is called a vertex, same goes with rectangles and all other shapes with points.