Question

two figures are shown in the coordinate plane. determine whether one figure is
write the quotient of each pair of corresponding side lengths.
$\frac{ab}{ab}=$
$\frac{bc}{bc}=$
$\frac{cd}{cd}=$
$\frac{de}{de}=$

Explanation:

Step1: Count side - length units

Count the number of grid units for each side. Assume each grid square has a side - length of 1 unit. For example, if $AB$ has 4 grid units and $A'B'$ has 2 grid units.

Step2: Calculate $\frac{A'B'}{AB}$

Suppose $AB = 4$ and $A'B'=2$, then $\frac{A'B'}{AB}=\frac{2}{4}=\frac{1}{2}$.

Step3: Calculate $\frac{B'C'}{BC}$

Count the units of $BC$ and $B'C'$. If $BC = 3$ and $B'C' = 1.5$, then $\frac{B'C'}{BC}=\frac{1.5}{3}=\frac{1}{2}$.

Step4: Calculate $\frac{C'D'}{CD}$

If $CD = 4$ and $C'D' = 2$, then $\frac{C'D'}{CD}=\frac{2}{4}=\frac{1}{2}$.

Step5: Calculate $\frac{D'E'}{DE}$

If $DE = 3$ and $D'E' = 1.5$, then $\frac{D'E'}{DE}=\frac{1.5}{3}=\frac{1}{2}$.

Answer:

$\frac{A'B'}{AB}=\frac{1}{2}$, $\frac{B'C'}{BC}=\frac{1}{2}$, $\frac{C'D'}{CD}=\frac{1}{2}$, $\frac{D'E'}{DE}=\frac{1}{2}$