G.GCI.3 Constructing a Circumcenter

DIRECTIONS:
1) Use the POLYGON [icon]/images/ggb/toolbar/mode_polygon.png[/icon] tool to construct a triangle. [br]2) Use the PERPENDICULAR BISECTOR (PB) [icon]/images/ggb/toolbar/mode_linebisector.png[/icon] tool to construct the PB's of this triangle's 3 sides. [br]3) Plot the intersection of these 3 perpendicular bisectors (circumcenter). [br]
4)
Construct a circle centered at the circumcenter that passes through any vertex of this triangle. Why does this circle pass through the other 2 vertices of this triangle?
[color=#0000ff]When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet. [/color]
Quick (Silent) Demo
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Information: G.GCI.3 Constructing a Circumcenter