Question

rectangle wxyz was dilated using the rule $d_{z,\frac{12}{5}}$. what is $wx$? 8 units 10 units 12 units 14 units

Explanation:

Step1: Recall the dilation formula

When a figure is dilated with a scale factor \(k\), the length of a segment \(AB\) in the original figure and its image \(A'B'\) in the dilated figure is related by \(A'B'=k\times AB\). Here, the scale factor \(k = \frac{12}{5}\) and the original length \(WX=5\) units.

Step2: Calculate \(W'X'\)

Substitute \(k=\frac{12}{5}\) and \(WX = 5\) into the formula \(W'X'=k\times WX\). So \(W'X'=\frac{12}{5}\times5\).
Since \(\frac{12}{5}\times5=12\) (the \(5\) in the numerator and denominator cancels out).

Answer:

12 units