Circumcenter of a Triangle in the Coordinate Plane
1. Given vertices A(8, 6), B(9, - 4), & C(-2, 3) of a triangle, plot and label the points, and
connect the vertices to draw "ABC :
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2. Use a compass and straightedge to accurately construct the circumcenter of "ABC .
Show all arc marks and appropriate intersection points – label if necessary.
3. Based on your construction, make an estimate (to the nearest tenth) for the coordinates
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of the circumcenter:
( __________ , ___________ )
4. Showing all work on an attached sheet of paper, calculate algebraically the
circumcenter of "ABC . Show all work! Express the final answer using fractions in
lowest terms – use mixed numbers if appropriate. You may then convert to decimals in
order to compare your algebraic result with your constructed estimate.
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( __________
, ___________ ) or, as a decimal: ( __________ , ___________ )
5. Finally, write a short paragraph comparing and contrasting your results. Be reflective.