8.2 (Day 1) Finding the Circumcenter

DIRECTIONS:
[b]Navigating Geoebra:[br][/b][list][*]Click on the purple TOOLS icon [img]data:image/png;base64,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[/img] to access the Geogebra tools.[/*][*]You may have to click on "MORE" to see all the tools[/*][*]You can zoom in and out on the graph.[/*][/list][b][br]Finding the Circumcenter:[/b][br][br][list=1][*]Use the POLYGON [icon]/images/ggb/toolbar/mode_polygon.png[/icon] tool to plot your points and construct your triangle. [/*][*]Use the PERPENDICULAR BISECTOR (PB) [icon]/images/ggb/toolbar/mode_linebisector.png[/icon] tool to construct the PB's of the triangle's 3 sides.[/*][*]Use the MOVE [img]data:image/png;base64,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[/img]tool to select the intersection of the three perpendicular bisectors. This will tell you the coordinates of that point.[/*][/list]
Example A: Determine the coordinates of the circumcenter of a triangle with coordinates (1,-4), (-6,5), and (5,8).
Example B: (You Try!) Determine the coordinates of the circumcenter of a triangle with coordinates (0,0), (0,9), and (-3,0). (Choose the correct answer below)
Answer
Choose the correct answer from Example B:
Close

Information: 8.2 (Day 1) Finding the Circumcenter