Remember that the rule for a dilation by a factor of k about the origin is:
[tex](x,y)\rightarrow(kx,ky)[/tex]
Identify the coordinates of the points W, X and Z. Then, apply a dilation by a factor of 3 about the origin to find W', X' and Z', the new coordinates after the dilation.
[tex]\begin{gathered} W=(4,2) \\ X=(8,6) \\ Z=(8,2) \end{gathered}[/tex]
Apply a dilation by a factor of 3:
[tex]\begin{gathered} W(4,2)\rightarrow W^{\prime}(3\times4,3\times2)=W^{\prime}(12,6) \\ X(8,6)\rightarrow X^{\prime}(3\times8,3\times6)=X^{\prime}(24,18) \\ Z(8,2)\rightarrow Z^{\prime}(3\times8,3\times2)=Z^{\prime}(24,6) \end{gathered}[/tex]
Therefore, the new coordinates would be:
[tex]\begin{gathered} W^{\prime}=(12,6) \\ X^{\prime}=(24,18) \\ Z^{\prime}=(24,6) \end{gathered}[/tex]
