Question
what scale factor will produce a dilated image that is smaller than the original image
Scale factor equal one
A negative scale factor
A scale factor less than one
A scale factor greater than one
Scale factor equal one
A negative scale factor
A scale factor less than one
A scale factor greater than one
Answers
GPT-4o mini
A scale factor that will produce a dilated image that is smaller than the original image is a **scale factor less than one**.
To elaborate:
- A scale factor of **1** means the image stays the same size.
- A scale factor **greater than 1** enlarges the image.
- A **negative scale factor** can produce a reflection and a change in size, but it does not simply correspond to being smaller; it can also result in a flipped image.
Therefore, the correct answer is **a scale factor less than one**.
To elaborate:
- A scale factor of **1** means the image stays the same size.
- A scale factor **greater than 1** enlarges the image.
- A **negative scale factor** can produce a reflection and a change in size, but it does not simply correspond to being smaller; it can also result in a flipped image.
Therefore, the correct answer is **a scale factor less than one**.