The rule for the dilation of quadrilateral qrst to the image q'r's't' is do,0.5(x, y) → (0.5x, 0.5y).
what are the coordinates of q', if q(0, 2)?

The coordinate of image of quadrilateral at Q is, Q'(0 , 1).  

Given data:

The coordinates of Q of original quadrilateral is, Q (0,2).

The dilation rule is, DO, 0.5(x, y). (here, 0.5 is a scale factor)

The dilation is a mathematical approach to produce a transformed image from its an original image, such that it has same shape but varied size. The rules of dilation are given as follows:

The coordinates of Q of image quadrilateral is,

Thus, we can conclude that the coordinate of image quadrilateral at Q is, Q'(0 , 1).  

Learn more about the dilation rule from here:

link

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step-by-step explanation: