rectangle wxyz was dilated using the rule $d_{z,\frac{12}{5}}$. what is wx? 8 units 10 units 12 units 14 units
rectangle wxyz was dilated using the rule $d_{z,\frac{12}{5}}$. what is wx? 8 units 10 units 12 units 14 units
Answer
Answer:
C. 12 units
Explanation:
Step1: Identify dilation rule
The dilation rule is $D_{Z,\frac{12}{5}}$. This means the scale - factor $k = \frac{12}{5}$.
Step2: Find original length of WX
From the figure, the length of $WX = 5$ units.
Step3: Calculate dilated length
The formula for the length of a dilated segment is $l'=k\times l$, where $l'$ is the dilated length, $k$ is the scale - factor, and $l$ is the original length. Substitute $k=\frac{12}{5}$ and $l = 5$ into the formula: $l'=\frac{12}{5}\times5=12$ units. So, the length of $W'X'$ is 12 units.