I am in the process of working through a series of lessons on triangle centers. So far, I've made it through the perpendicular and angle bisector theorems, as well as perpendicular and angle bisectors of triangles. I am posting what I have accomplished here in an effort to get input on whether these seem to be too difficult. Are my expectations too high? My students are average level sophomores. I am wavering on including more basic skill level types of questions along with the problems currently on the worksheet.

I have considered updating parts of it by incorporating some sort of technology investigation using either TI-84s or 92s, but would have to incorporate some sort of training on how to use the Cabri environment before looking at triangle centers. I think this would be especially useful in portions of the investigation into angle bisectors of a triangle.

I thank you in advance for any help or advice.

Perpendicular Bisector Theorem Investigation

Angle Bisector Theorem Investigation

Perpendicular Bisectors of a Triangle Investigation

Angle Bisectors of a Triangle Investigation