Question

two figures are shown in the coordinate plane. determine whether one figure is
write a fraction for each pair of corresponding side lengths.
$\frac{ef}{ef}=$
$\frac{fg}{fg}=$
$\frac{gh}{gh}=$
$\frac{hi}{hi}=\frac{1}{2}$

Explanation:

Step1: Count side - lengths on grid

Count the number of grid units for each corresponding side. For example, if $EF$ has 4 grid - units and $E'F'$ has 2 grid - units.

Step2: Calculate the ratios

For $\frac{E'F'}{EF}$, if $E'F' = 2$ and $EF = 4$, then $\frac{E'F'}{EF}=\frac{2}{4}=\frac{1}{2}$. Similarly, for $\frac{F'G'}{FG}$, if $F'G' = 1$ and $FG = 2$, then $\frac{F'G'}{FG}=\frac{1}{2}$. For $\frac{G'H'}{GH}$, if $G'H' = 1$ and $GH = 2$, then $\frac{G'H'}{GH}=\frac{1}{2}$.

Answer:

$\frac{E'F'}{EF}=\frac{1}{2}$, $\frac{F'G'}{FG}=\frac{1}{2}$, $\frac{G'H'}{GH}=\frac{1}{2}$