rectangle is dilated by 9. image is dilated using scale factor of 1/8. How do I figure out the scale factor that the original rectangle cold have been dilated to get the final rectangle
To find the scale factor that the original rectangle could have been dilated by to get the final rectangle, you can use the concept of the composition of dilations.
When multiple dilations are performed, the resulting scale factor is found by multiplying the individual scale factors. In this case, the original rectangle is dilated by a factor of 9, and then the resulting image is further dilated by a factor of 1/8.
To determine the overall scale factor, you multiply the two individual scale factors:
Scale factor = Scale factor of original dilation × Scale factor of second dilation
Scale factor = 9 × (1/8)
Multiply the numerator by the denominator:
Scale factor = 9/1 × 1/8
Multiply the numerators together and the denominators together:
Scale factor = 9/8
Therefore, the original rectangle could have been dilated by a scale factor of 9/8 to get the final dilated image.