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: Understand the dilation rule

Dilation rule \(D_{z,\frac{12}{5}}\) means the scale factor \(k = \frac{12}{5}\).

Step2: Apply the dilation formula

For a segment \(WX\) with length \(l = 5\), after dilation \(W'X'=k\times WX\).
Substitute \(k=\frac{12}{5}\) and \(WX = 5\) into the formula: \(W'X'=\frac{12}{5}\times5\).

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Answer:

12 units