Question

pass geometry a module 2 assessment
abcd ~ wxyz. find the scale factor and values of x & y.
scale factor: x: y:

Explanation:

Step1: Find the scale factor

Compare corresponding sides. Let's use the sides $BC = 8.4$ and $XY=21$. The scale factor $k$ from $ABCD$ to $WXYZ$ is $k=\frac{XY}{BC}=\frac{21}{8.4}=2.5$.

Step2: Find the value of $x$

Side $AD = 3$ corresponds to side $WX=x$. Using the scale - factor formula $\frac{WX}{AD}=k$. Substitute $k = 2.5$ and $AD = 3$ into the formula: $x=3\times2.5 = 7.5$.

Step3: Find the value of $y$

Side $CD = 6$ corresponds to side $YZ=y$. Using the scale - factor formula $\frac{YZ}{CD}=k$. Substitute $k = 2.5$ and $CD = 6$ into the formula: $y=6\times2.5=15$.

Answer:

Scale Factor: $2.5$, $x:7.5$, $y:15$