Circumcenter Construction

Review of constructing a Perpendicular Bisector
Construction Steps:
1.Construct a circle centered at point A and through point B. (circle d) 8.Construct line GF. (line i)
2. Construct a circle centered at point B and through point A. (circle e) 9.Construct a circle centered at point B and through point C. (circle k)
3.Construct the intersection points between circle d and circle e. (point D & point E) 10.Construct a circle centered at point C and through point B. (circle p)
4.Construct line DE. (line f) 11. Construct the intersection points between circle k and circle p. (point I & point H)
5.Construct a circle centered at point A and through point C. (circle g) 12Construct line IH. (line J)
6.Construct a circle centered at point C and through point A. (circle h) 13. Construct the intersection of line f and line i. (point J)
7.Construct the intersection points between circle g and circle h. (point G & point F) 
Task:
Construct the circumcenter of triangle ABC by following the construction steps provided above the blank worksheet.
Question:
Are line DE, line GF, and line IH always concurrent? (Move points A, B, and C to change the triangle and check your answer.)
Explore the construction of the circumcenter and its relationship with the triangle.
Here is the finished construction
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Information: Circumcenter Construction