DILATIONS EXPLORATION Click here to access the GeoGebra exploration. Use the GeoGebra applet to answer questions 1-5. You can adjust the scale factor using the dark green slider. 1. Determine the ratio of CA' to CA. How does this ratio compare to the scale factor? 2. Use the dark green slider to change the scale factor to 3. Determine the ratio of C'A' to CA. How does this ratio compare to the scale factor? 3. Based on what you found in questions 1 and 2, explain how to identify the scale factor n for a given dilation. 4. For what scale factors is the dilation an enlargement? For what scale factors is the dilation a reduction? 5. What happens when the scale factor is set to 1? 6. Click and move the red point labeled "Center". What happens to the preimage (original blue triangle)? What happens to the image (new green triangle)? 7. Does changing the location of the Center change the size of the image? Use what you have learned to complete the following problems. B. Describe the transformation (x, y) - (2x, 2y). 9. Describe the transformation (x, y) - (x.ly). 10. What are the coordinates of the image of triangle A(4,3), B(-1,2), and C(0,3) after a dilation with center (0,0) and scale factor k = 4? 11. What are the coordinates of the image of triangle A(2,0), B(4,4), and C(-2, -6) after a dilation with center (0,0) and scale factor k = 1/2