Points of Concurrency and More!

123456789
Across
  1. 3. passes through midpoints of triangle segments (and other points too!)
  2. 5. vertices of this triangle are on perpendiculars of sides of another triangle to a fixed point
  3. 7. equidistant from vertices of triangle
  4. 8. minimal perimeter triangle inscribed in another triangle
  5. 9. intersection of altitudes
Down
  1. 1. intersection of angle bisectors
  2. 2. degenerate pedal triangle with fixed point on circumscribed circle
  3. 4. center of mass for a triangle
  4. 6. through three centers of a triangle