Which of the following scale factors would produce an expansion under a dilation of the original image?
A. 2/3
B. -1/2
C. 3/2
D. -3/4
What is the original image??
There was no original Image.
It doesn't need an image because it would apply for all images.
It is 3/2..It is the only one that holds more than a full value.
To determine which scale factors would produce an expansion under a dilation, we need to understand the concept of dilation and its effect on scale factors.
A dilation is a transformation that changes the size of an object, while keeping its shape and proportions intact. It can either compress or expand the size of the object. When the scale factor of a dilation is greater than 1, it results in an expansion. When the scale factor is between 0 and 1, it results in a compression.
Let's analyze the given scale factors to determine if they would cause an expansion or not:
A. 2/3: This scale factor is less than 1, so it would cause a compression, not an expansion.
B. -1/2: This scale factor is negative, indicating a change in orientation (flipping or reflection) rather than an expansion or compression.
C. 3/2: This scale factor is greater than 1, so it would cause an expansion.
D. -3/4: This scale factor is negative, indicating a change in orientation rather than an expansion or compression.
Therefore, the scale factor that would produce an expansion under a dilation of the original image is option C, 3/2.