# Perpendicular Bisector with Circumcenter

- Author:
- Felicia Hardaway

## Directions

1) Use the POLYGON tool to construct triangles A(2,3) B(6,13) and C(14,3)
2) Use the INTERSECTION tool to construct the Perpendicular Bisector of each side
3) Use the POINT tool to construct the intersection of the 3 Perpendicular Bisectors and record its coordinates on your worksheet.
4) Use the SEGMENT tool to construct the segment from the circumcenter to the vertices.

## Questions

1) Is it ever possible for a triangle's

**circumcenter**to lie OUTSIDE the triangle? If so, under what circumstance(s) will this occur? 2) Is it ever possible for a triangle's**circumcenter**to lie ON THE TRIANGLE ITSELF? If so, under what circumstance(s) will this occur? 3) If your answer for (2) was "YES", where on the triangle did**Circumcenter**lie? 4) Is it ever possible for a triangle's**circumcenter**to lie INSIDE the triangle? If so, under what circumstance(s) will this occur?