Question

rectangle wxyz was dilated using the rule ( o_{z,\frac{3}{2}} ). 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 \(k\) from the origin \(O\), the length of a segment \(AB\) in the original figure and its image \(A'B'\) satisfies \(A'B'=k\times AB\). Here, the scale factor \(k = 2\) (from the dilation rule \(O_{2,\frac{1}{2}}\), the first - value \(2\) is the scale factor for length), and the original length \(WX = 5\).

Step2: Calculate the length of \(W'X'\)

Using the formula \(W'X'=k\times WX\), substitute \(k = 2\) and \(WX = 5\) into the formula. So \(W'X'=2\times5\).

Answer:

10 units