Centroid Dilation

In the sketch below, points A, B, and C are each dilated about point G. The dilation factor is controlled by the slider. Drag the slider and observe the locations of each signed dilation. Answer the questions below.

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1. What dilation factor maps A, B, and C to A', B', and C', respectively?
2. How are A', B', and C' related to the sides of the triangle? (Feel free to measure objects.)
3. What type of segments are AA', BB', and CC'?
4. How are the segments in #3 related to point G?
5. What can be said about the distance from G to each point (A,B,C, A',B', C')?
6. What can be said about the location of G on each segment (AA', BB', CC')?

Veronica Robinson, Created with GeoGebra