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GeoGebraGeoGebra Kennslustofan

Circumcircle of a triangle

Task

Construct the circumcircle of a triangle that passes the Drag Test by following the construction steps provided below.

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Instructions

1.Toolbar ImageCreate an arbitrary triangle ABC by clicking three times into the Graphics View and then selecting the first created point again.
2.Toolbar ImageConstruct the Perpendicular Bisector for each side of the triangle. Hint: The Perpendicular Bisector tool can be applied to an existing segment.
3.Toolbar ImageCreate intersection point D of two of the line bisectors. Hint: The Intersect tool can be applied to the intersection of three lines or by successively selecting two of the three line bisectors.
4.Toolbar ImageConstruct a circle with center D through one of the vertices of triangle ABC by first selecting D and then one of the vertices of the triangle.
5.Toolbar ImagePerform the Drag Test moving the vertices of the triangle to check if your construction is correct.

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