Describing Types of Dilations There are distinct differences between an enlargement and a reduction with dilations. Describe the key facts about both types of dilations.

The key fact about the enlargement, scale factor > 1

The key fact about the reduction, 0 < scale factor < 1

Step-by-step explanation:

Let us explain what is the dilation?

Enlargement means the image of a figure after dilation is larger than the original figure

Reduction means the image of a figure after dilation is smaller than the original figure

The key fact about the enlargement is that the scale factor of dilation must be greater than 1 ⇒ scale factor > 1

The key fact about the reduction is that the scale factor of dilation must be between 0 and 1 ⇒ 0 < scale factor < 1

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1