For the next Fourth of July, the towns of Ashton, Bradford, and Clearview will launch a fireworks display from a boat in the lake.
Graph the perpendicular bisectors and enter the coordinates to show where the boat
should be positioned so that it is the same distance from all three towns. Round to the
nearest tenth. Complete the justification for your graph.
4
Ashton
Bradford
AB
1
o
-1
AC
BC
-2
Clearview
-8 -7
-6
-5-4-3-2-1
4 5 6 7 8
?
I AB
LAC
IBC
The boat should be positioned at location
Let the three towns be vertices of a triangle. By the Circumcenter Theorem, the
circumcenter of the triangle is (select) from the vertices. To find the
circumcenter, find the perpendicular bisectors of each side. The position of the boat is the
circumcenter.