Triangle Dilations

Use the rubber band stretcher to dilate the given triangle by a factor of 3 centered at point M. Also use the rubber band stretcher to dilate the give triangle by a factor of 1/2 centered at N. Can you use the rubber band stretcher to show that the larger of the two new triangles formed is a dilation of the smaller? (See Mathematics Vision Project, Secondary Math II, task 6.2 for details.)