### Home > INT2 > Chapter 7 > Lesson 7.1.3 > Problem7-40

7-40.

$ΔMAX$ 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, $ΔM'A'X'$?

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

2. Determine the following ratios.

1. $\frac{MA'}{MA}$

1. $\frac{MX'}{MX}$

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

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 $U$.

Use the eTool below to model the problem.
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