Chapter 14.5, Problem 13WE

To determine

To find the scale factor and state if the dilation is an expansion or contraction.

Answer to Problem 13WE

The scale factor is $4$ and the dilation is an expansion.

Explanation of Solution

Given information:

The given point and its image is:

  $\left(0,\frac{1}{6}\right)\to \left(0,\frac{2}{3}\right)$

Calculation:

The solution can be obtained as:

  $\left(0,\frac{2}{3}\right)=4\cdot \left(0,\frac{1}{6}\right)$

Hence, the scale factor is $4$ and the dilation is an expansion.