Triangles!

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Across
  1. 3. circumcenter is equidistant from the _____ of the triangle
  2. 6. incenter is equidistant from the ______ of the triangle
  3. 8. intersection of angle bisectors
  4. 10. intersection of medians
  5. 11. centroid divides median into two segments with one _____ as long as the other
Down
  1. 1. vertex connected to opposite side at right angle
  2. 2. intersection of altitudes
  3. 4. intersection of perpendicular bisectors
  4. 5. theorem that says longer side is opposite larger angle if the two sides are congruent
  5. 7. assume this to be false in an indirect proof
  6. 9. vertex connected to midpoint of opposite side