Construction of the Circle Passing Through 3 Points

[i][color=#ff0000]Through three distinct, non-collinear points[/color][/i][color=#ff0000],[i] there passes one and only one circle.[/i][/color][br][br]Note: [i]Collinear [/i]= lying on a single straight line[br][br]Use the GeoGebra tools to construct the circle passing through points [i]A[/i], [i]B[/i] and [i]C[/i].

Create the Circle

Check Your Construction

Compare your construction with the one displayed in the app below.

Explorations

What happens if points [i]A[/i], [i]B[/i] and [i]C[/i] are collinear?

What happens if the points are not distinct?

Schließen

Information: Construction of the Circle Passing Through 3 Points