Chapter 14.5, Problem 11WE

To determine

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

Answer to Problem 11WE

The scale factor is $\frac{1}{3}$ and the dilation is acontraction.

Explanation of Solution

Given information:

The given point and its image is:

  $\left(3,9\right)\to \left(1,3\right)$

Calculation:

The solution can be obtained as:

  $\left(1,3\right)=\frac{1}{3}\cdot \left(3,9\right)$

Hence, the scale factor is $\frac{1}{3}$ and the dilation is a contraction.