Copy of 14.7c The Inverse of a Dilation
Dilate Triangle ABC by a factor k = 0.5 by dragging the first slider.
Drag the second slider. Does the image of A'B'C' align with triangle ABC for any value of a?
Drag the third slider. Does the image of A'B'C' align with triangle ABC for any value of b?
Drag the last slider. Does the image of A'B'C' align with triangle ABC for any value of c? What is the value of c? How does it relate to the value of k?
See below for more investigations.
Begin again by dragging all sliders back to 1.
Test the image dilations for each of the following dilation factors for Triangle ABC and test the image dilations again:
k=-2
k = -0.5
k = 0
k = 2
What is the value of c for each of the values of k?
What are the restricted values for an inverse dilation?