Answer:
4.
Vertices are points.
Draw a triangle and you will see there are 3 points. Then from each side of the triangle you need to attach another triangle and lift these up so that they come (out of the paper at a point above the middle of the flat triangle). This is another point making a total of 4 points.
A triangular pyramid has a 4 vertices.
There are 4 vertices on a triangular pyramid..