# G.GCI.3 Where in Horry County?

- Author:
- Dan Dale, Tim Brzezinski

## Horry County wants to open a new recycling center and wants the new center to be located the same distance from each corner of the county.

1) Use the map to locate the

**circumcenter**of Horry County. 2) To find the**circumcenter**you must: a) connect the 3 corners with line segments to make a triangle, b) construct the perpendicular bisector of each side by using congruent circles as a compass, c) construct the point of concurrency of the perpendicular bisectors. 3) You can circumscribe the triangle by using the circumcenter as the center of a circle and construct a circle that will go through the three vertices of the triangle. 4) Use the length tool to measure the length of line segments from each corner to the circumcenter. What do you notice?**Where would that location be? Use the tools of GeoGebra to help determine this. Would this be an ideal location? Why or why not?**