$ΔMAX$ has coordinates $M(0, 0), A(8, 0),$ and $X(8, 6)$. Draw $ΔMAX$ on graph paper.  

1. If $ΔMAX$ is dilated through the origin by a scale factor of $\frac { 3 } { 4 }$, what are the coordinates of the vertices of the image, $ΔM'A'X'$?

   Hint (a):

   Multiply each coordinate by $3/4$. Then graph the new triangle.

2. Determine the following ratios.

   1. $\frac{MA'}{MA}$ 

   2. $\frac{MX'}{MX}$ 

   Answer (b):

   $\frac{MA'}{MA}=\frac{6}{8}=\frac{3}{4}$

3. Segment $JK$ connects points $J(11, 7),$ and $K(17, 15)$. Point $U$ lies on $\overline{JK}$ and $\frac { J U } { J K } = \frac { 1 } { 4 }$. Determine the coordinates of point $U$.