Question

Which must be true of a scale factor of a dilation if the image is smaller than the original figure?

Answer 1

Answer:

the scale factor k is between 0 and 1

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

A dilation with the larger image than initial figure is called an enlargement.

A dilation that the smaller image than initial figure is called a reduction.

• If the scale factor k is greater than 1, the image is an enlargement
• If the scale factor k is between 0 and 1, the image is a reduction
• If the scale factor k = 1, the figure and the image are congruent

Thus, if the image is smaller than the original figure, then the scale factor k is between 0 and 1.