Final answer:
The center of dilation and scale factor options are identified and explained.
Step-by-step explanation:
The center of dilation is the point about which a figure is enlarged or reduced. The scale factor represents the ratio of the size of the image to the size of the original figure. From the options given:
- Center at (0,0) - This does not provide the scale factor.
- Center at (-1,2) - This does not provide the scale factor.
- Center at (6,5) - This does not provide the scale factor.
- Center at (2,-1) - This does not provide the scale factor.
- k = 1/2 - This indicates a scale factor of 1/2, meaning the image is half the size of the original figure.
- k = 2 - This indicates a scale factor of 2, meaning the image is twice the size of the original figure.
Therefore, the correct answers are: