The scale factor of the dilation is option (C) 3/2 is the correct answer.
What is transformation of dilation?
Dilation is a kind of transformation in which an object is resized based on a scale factor. Dilation is the process of enlarging or reducing the size of a geometrical object without changing its shape.
For the given situation,
The diagram shows the triangle TUV and the dilated triangle T'U'V'.
In the plane, V is at 4.8 units and V' is at 3.2 units.
The scale factor is a measure for similar figures, who look the same but have different scales or measures.
[tex]Scale factor =\frac{Dimension of the new shape}{Dimension of the original shape}[/tex]
⇒ [tex]Scale factor =\frac{4.8}{3.2}[/tex]
⇒ [tex]Scale factor =1.5[/tex]
From the options the value that has 1.5 as the value is [tex]\frac{3}{2}[/tex].
Hence we can conclude that the scale factor of the dilation is option (C) 3/2 is the correct answer.
Learn more about transformation of dilation here
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