Geometry I Final Exam Question 3(b)

Suppose triangle ABC, and P is a point outside the triangle. And A', B', and C' are the midpoints of segments AP, BP, and CP. Are triangles ABC and A'B'C' similar? Experiment by moving point P both outside and inside the triangle.

Then write up a formal proof to show trianlge ABC ~ triangle A'B'C'

Kelly Harms, Created with GeoGebra