Question

Which scale factors produce an expansion under a dilation of the original image?

Select each correct answer.

8
0.7
0.8
7

Thank you. :)

Answer 1

8 and 7

Explanation:

Answer 2

Answer: The correct options are (A) 8 and (D) 7.

Step-by-step explanation: We are given to select the correct scale factors that produces an expansion under a dilation of the original image.

The SCALE FACTOR of a dilation is defined as follows:

`\textup{Scale factor}=\frac{\textup{length of a side of the dilated image}}{\textup{length of the corresponding side of the original image}}.`

The dilation will be an expansion is the scale factor is greater than 1 (> 1),

and it will be a reduction if the scale factor is less than 1 (< 1).

Option (A) is

Scale factor = 8.

Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.

Option (B) is

Scale factor = 0.7.

Since 0.7 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.

Option (C) is

Scale factor = 0.8.

Since 0.8 < 1, so the scale factor of the dilation is less than 1. This implies that the dilation is a reduction.

Option (D) is

Scale factor = 7.

Since 8 > 1, so the scale factor of the dilation is greater than 1. This implies that the dilation is an expansion.

Thus, the correct options are (A) 8 and (D) 7.