1. Given A(-6,5), B(-1,3) and C(1,-8), find the centroid and the circumcentre. Is the centroid in or outside the triangle? Hint: the centroid has integer points, the circumcentre does not.
2. Given P(4,-2), I(4,4) and E(-6,4), find the centroid and circumcentre. Once done, find the midpoint of PE...what do you notice? What kind of triangle is this?