Chapter 6.8, Problem 16PPS

To determine

To find: The scale factor of the dilation and classify it as an enlargement or a reduction.

Answer to Problem 16PPS

The scale factor is $\frac{3}{2}$ and it is enlargement.

Explanation of Solution

Given information:

Triangle $L^{\prime }{M}^{\prime }{N}^{\prime }$ is a dilation of triangle $LMN$ .

Calculation:

In the dilation, both figures are similar.

It is clear that,

  $M\left(2,2\right)\to M^{\prime }\left(3,3\right)$ .

Scale factor is $\frac{3}{2}>1$ .

The dilated figure is larger than the original figure as scale factor is greater than one.

Hence, the scale factor is $\frac{3}{2}$ and it is enlargement.