CRISS-CROSS GEOMETRY PUZZLE

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Across
  1. 1. A line that connects the vertex of a triangle to the midpoint of the opposite side.
  2. 5. A line through a vertex of a triangle and perpendicular to the opposite side.
  3. 6. It is the geometric place of the points of a plane that are always at the same distance of a fixed point called centre.
  4. 9. The line that cuts a side in half and it is perpendicular to it.
  5. 10. A line through a vertex that cuts its angle in half.
Down
  1. 2. It is the line joining the orthocentre, the centroid and the circumcenter.
  2. 3. The point where the three altitudes of a triangle converge.
  3. 4. The point where the three perpendicular bisectors of a triangle converge.
  4. 7. The point where the three angle bisectors of a triangle converge.
  5. 8. The point where the three medians of a triangle converge.