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

The scale factor is the ratio of corresponding sides. Let's use the sides $BC = 8.4$ and $XY=21$. The scale factor $k=\frac{BC}{XY}=\frac{8.4}{21}=0.4$.

Step2: Find the value of $x$

Side $AB$ corresponds to side $WX$. We know that $\frac{AB}{WX}=k$. Given $AB = z$ (not relevant for this part), $WX = 24$, and $k = 0.4$. Also, if we assume the side - length relationship for the side corresponding to $x$. Let's say the side of length $3$ in $ABCD$ corresponds to the side of length $x$ in $WXYZ$. Using the scale factor, we have $x=\frac{3}{0.4}=7.5$.

Step3: Find the value of $y$

Side $CD$ corresponds to side $YZ$. We know that $\frac{CD}{YZ}=k$. Given $CD = 6$ and $k = 0.4$, then $y = 6\div0.4 = 15$.

Answer:

Scale Factor: $0.4$, $x:7.5$, $y:15$