Question

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)?

Answer 1

Applying the rule for dilation, we will multiply the scale factor to its coordinates. 
Having Q (0,2) and DO 0.5(x.y), the coordinates of Q' will be:

x = (.5)(0) = 0
y = (.5)(2) = 1

Therefore coordinates of Q' is (0,1) 

*Having a scale factor of >1, the figure is said to be reduced. 

Answer 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:

1. If the scale factor lies between 0 and 1, the transformed image is in shrink form or reduced form.
2. If the scale factor is equal to 1, then image is congruent.

The coordinates of Q of image quadrilateral is,

$Q'_{x}=\rm scale \;\rm factor \times (x-coordinate \;\rm of \;\rm Q)\\Q'_{y}=\rm scale \;\rm factor \times (y-coordinate \;\rm of \;\rm Q)\\\\Q'_{x}=\rm scale \;\rm factor \times (0)\\Q'_{y}=\rm scale \;\rm factor \times (1)\\\\Q'_{x}=0\\Q'_{y}=1$

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

Learn more about the dilation rule from here:

https://brainly.com/question/23662322