Triangle LRG is similar to triangle CNP. Therefore, the following ratios apply;
[tex]\begin{gathered} \frac{CN}{LR}=\frac{PN}{GR} \\ \text{Similarly,} \\ \frac{CP}{LG}=\frac{PN}{GR} \end{gathered}[/tex]
Hence, for triangle LRG to be dilated to become CNP,
[tex]\begin{gathered} \frac{45}{30}=\frac{48}{32} \\ \frac{3}{2}=\frac{3}{2} \end{gathered}[/tex]
Therefore, the scale factor needed to dilate triangle LRG so that its image is congruent to triangle CNP is 1.5 (that is the decimal equivalent of 3/2)
This means triangle LRG would be multiplied by 1.5 in order to have an image congruent to triangle CNP
