Is MNP a dilation of JKL? Explain why or why not.

The coordinate of vertex M is (0,-6) and coordinate of point J is (0,-3).
Determine the dilation factor for the triangle.
[tex]\begin{gathered} k=-\frac{6}{-3} \\ =2 \end{gathered}[/tex]The coordinte of vertex N is (-6,6) and coordinate of vertex K is (-2,3).
Determine the dilation factor by using vertex K.
[tex]\begin{gathered} k=-\frac{6}{-2} \\ =3 \end{gathered}[/tex]or
[tex]\begin{gathered} k=\frac{6}{3} \\ =2 \end{gathered}[/tex]The dilation factor for the x-coordinate of vertex K is different from the dilation factor of triangle.
So triangle MNP is not a dilation of triangle JKL as vertices of triangle do not have same dilation factor.