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)?

Explanation:

Step1: Identify the dilation rule

The dilation rule is \( D_{O,0.5}(x,y) \to (0.5x, 0.5y) \), which means we multiply each coordinate of the point by 0.5.

Step2: Apply the rule to point Q

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

Answer:

\((0, 1)\)