What is the point called in an equilateral triangle where the angle bisector, perpendicular bisector, height, median meet (they all meet in the same spot)

Not aware of any special name given that point.

How about calling is a "common point of concurrency"

The point you are referring to in an equilateral triangle is called the circumcenter. To understand how to find the circumcenter, we need to be familiar with a few terms.

1. Angle Bisector: An angle bisector is a line that divides an angle into two equal parts. In an equilateral triangle, each angle is 60 degrees, so the angle bisector will cut it into two 30-degree angles.

2. Perpendicular Bisector: A perpendicular bisector is a line that cuts a segment into two equal parts and is perpendicular to that segment. In an equilateral triangle, the perpendicular bisector will pass through the midpoint of each side and be perpendicular to that side.

3. Height: The height of an equilateral triangle is a line segment drawn from any vertex to the opposite side, forming a right angle.

4. Median: A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side.

The intersection point of the angle bisectors, perpendicular bisectors, heights, and medians of an equilateral triangle is the circumcenter. To find the circumcenter, follow these steps:

1. Draw an equilateral triangle.
2. Draw the angle bisectors for each angle. These are the lines that divide each angle into two equal 30-degree angles.
3. Draw the perpendicular bisectors for each side. These will Pass through the midpoints of the sides and will be perpendicular to each side.
4. Draw the heights. From each vertex, draw a line perpendicular to the opposite side, forming a right angle.
5. Draw the medians. Connect each vertex of the triangle with the midpoint of the opposite side.

The point where all the lines ā€“ angle bisectors, perpendicular bisectors, heights, and medians ā€“ intersect is the circumcenter.

The circumcenter is a significant point in a triangle as it is equidistant from the triangle's three vertices.