Question

Throughout this activity, the scale factor, n, has been a positive value. However, a scale factor for dilations can also be negative. When a set of coordinates on a preimage is multiplied by -n instead of n, the coordinates of the image rotate about the center of dilation by 180°. Consider all the potential intervals of n in the table. Enter information in the table to indicate whether the scale factor produces an enlargement, a reduction, or no size change. Also indicate whether the image rotates 180° about the center of dilation. The first one has been done for you.

Answer 1

Interval Enlargement, reduction, or no size change? Does the image rotate 180° about the center of dilation?

0 < n < 1 reduction no

n = 1 no size change no

n > 1 enlargement no

-1 < n < 0 reduction yes

n = -1 no size change yes

n < -1 enlargement yes

Explanation:

Answer 2

Explanation: