I’m having a hard time looking at this figure and I want to make sure I’m looking at it right and understanding it. Any help is greatly appreciated, I know it’s quite a bit

Step-by-step explanation:

1a) The perpendicular bisectors pass through the midpoints of the sides of the triangle and are perpendicular to the sides.  They are the red lines.

1b) The angle bisectors pass through the vertices of the triangle and divide the angle into two equal parts.  They are the black lines.

1c) The inscribed circle is the circle inside of the triangle.  It is the blue circle.

1d) The circumscribed circle is the circle outside of the triangle.  It is the green circle.

2a) The circumcenter is the center of the circumscribed circle.  It is point H.

2b) The incenter is the center of the inscribed circle.  It is point I.