The colored lines represent different constructions of the three different triangle centers we are talking about. The intersection of the pink lines represent the orthocenter of triangle W.
The intersection of the green lines represent the circumcenter of triangle W.
The intersection of the blue lines represent the centroid of triangle W.
Here is all of them put together. Find each of these intersections, and label accordingly: orthocenter O, the circumcenter C, and the centroid N.
What observations do you have so far, if any, about the three centers of triangle W?
Do your best to use mathematically correct language as you share what you notice!