Chapter 14.5, Problem 12WE

To determine

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

Answer to Problem 12WE

The scale factor is $-\frac{1}{2}$ and the dilation is acontraction.

Explanation of Solution

Given information:

The given point and its image is:

  $\left(4,10\right)\to \left(-2,-5\right)$

Calculation:

The solution can be obtained as:

  $\left(-2,-5\right)=-\frac{1}{2}\cdot \left(4,10\right)$

Hence, the scale factor is $-\frac{1}{2}$ and the dilation is a contraction.