Google Classroom
GeoGebraGeoGebra Classroom

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.Toolbar ImageConstruct 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.Toolbar ImageConstruct 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.Toolbar ImageConstruct line DE. (line f) 11. Toolbar ImageConstruct 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) 12Toolbar ImageConstruct line IH. (line J)
6.Construct a circle centered at point C and through point A. (circle h) 13. Toolbar ImageConstruct the intersection of line f and line i. (point J)
7.Toolbar ImageConstruct 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.)

Select all that apply
  • A
  • B
Check my answer (3)

Explore the construction of the circumcenter and its relationship with the triangle.

Here is the finished construction