Question

the rule for the dilation of quadrilateral qrst to the image qrst is $d_{o,0.5}(x,y) \to (0.5x, 0.5y)$. what are the coordinates of q, if q(0, 2)? (\boxed{ }, \boxed{ })

Explanation:

Step1: Identify the dilation rule

The dilation rule is \( D_{O,0.5}(x,y) \to (0.5x, 0.5y) \), where \( (x,y) \) is the original point and \( (0.5x, 0.5y) \) is the dilated point.

Step2: Substitute the coordinates of Q

Given \( Q(0, 2) \), we substitute \( x = 0 \) and \( y = 2 \) into the dilation rule.
For the x - coordinate of \( Q' \): \( 0.5\times x=0.5\times0 = 0 \)
For the y - coordinate of \( Q' \): \( 0.5\times y=0.5\times2 = 1 \)

Answer:

(0, 1)