Chapter 9.5, Problem 61SR

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 61SR

Enlargement and scale factor is $\frac{3}{1}$ .

Explanation of Solution

Given:

The given figure is

  

Calculation:

It is clearly visible that the figure got bigger. So, there is enlargement.

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

Using the corresponding side length from the bottom-

  $\begin{array}{l}k=\frac{6}{2}\\ k=\frac{3}{1}=3:1\end{array}$

This is greater than $1$ . So, it is clearly enlargement and scale factor is $\frac{3}{1}$ .