Dilation changes the size of the shape that is being dilated.
The length of QY is 1.5
From the complete question, the given parameters are:
[tex]\mathbf{QY'=4.125}[/tex]
[tex]\mathbf{QW=2}[/tex]
[tex]\mathbf{QW'=5.5}[/tex]
So, the length of QY is calculated using:
[tex]\mathbf{QW : QY = QW' : QY'}[/tex]
Substitute known values
[tex]\mathbf{2 : QY = 5.5 : 4.125}[/tex]
Express as fraction
[tex]\mathbf{\frac{QY}{2} = \frac{4.125}{5.5}}[/tex]
Multiply both sides by 2
[tex]\mathbf{QY = \frac{4.125}{5.5} \times 2}[/tex]
[tex]\mathbf{QY = \frac{8.25}{5.5} }[/tex]
[tex]\mathbf{QY = 1.5}[/tex]
Hence, the length of QY is 1.5
Read more about dilations at:
https://brainly.com/question/16839671
