Chapter 12.3, Problem 14MC

Each member of the group should cut out a large acute scalene triangle. Make each one different. For each triangle fold the triangle to form the perpendicular bisectors of the sides. The fold for the perpendicular bisectors of $\overline{AC}$ is shown below.

a. Do the three perpendicular bisectors meet at a common point for each triangle?

b. For each triangle, label the vertices as A, B, and C and the common intersection point P. Measure $AP$, $BP$, and $CP$. What do you observe?

c. What changes in this experiment would you have to make for different kinds of triangles?