Tiffany N. KeysÕ Final Assignment:
OBSERVATIONS AND IVESTIGATIONS:
á It is observed that Barney bounces off a wall five times before he returning to his starting point.
á This raises the question of will he always touch the walls five times before returning to his starting point.
á To investigate one of the relationships between Barney's path and the triangular room, I used GSP to find the perimeter of the triangle ABC.
á Then, I found the length of each path.
á The sum of the length of Barney's paths was equal to the perimeter of the triangle.
á By tracing the intersections of Barney's paths, the medians of triangle ABC were
á The point of intersection of the three medians is called the centroid.
á In order for Barney's paths to have one common intersection, Barney must begin on the point approximately one third of the segment AC from point A.
á This is the only way for the paths to all intersect at the centroid of the triangle.