Chapter 9.5, Problem 59SR

To determine

To find out whether the dilation from figure A to figure B an enlargement or a reduction and then find out the scale factor of the dilation.

Answer to Problem 59SR

Reduction and scale factor is $\frac{1}{2}$

Explanation of Solution

Given:

The given figure is

  

Calculation:

It is clearly visible that the figure got smaller. So, there is reduction.

Now, scale factor $=\frac{\text{image}}{\text{preimage}}$

Using the corresponding side length from the bottom-

  $\begin{array}{l}k=\frac{4}{8}\\ k=\frac{1}{2}=1:2\end{array}$

This is less than $1$ . So, it is clearly reduction and scale factor is $\frac{1}{2}$ .