Chapter 6.8, Problem 4CYU

To determine

To find: The scale factor of the dilation.

Answer to Problem 4CYU

The scale factor is $\frac{5}{8}$ .

Explanation of Solution

Given information:

Original dimensions are $8\text{in}\times \text{14}\text{in}$ .

Dimensions of copy are $5\text{in}\times 8\frac{3}{4}\text{in}$ .

Calculation:

Original dimensions are $8\text{in}\times \text{14}\text{in}$ .

Dimensions of copy are $5\text{in}\times 8\frac{3}{4}\text{in}$ .

Take the ratio between image and original dimensions.

  $\begin{array}{c}\frac{8\frac{3}{4}}{14}=\frac{35}{4\times 14}\\ =\frac{5}{8}\end{array}$

Hence, the scale factor is $\frac{5}{8}$ .