Question

finding the vertex from the pre-image
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 $q (0, 2)$?
(\square, \square)

Explanation:

Step1: Identify the dilation rule

The dilation rule is \( D_{O, 0.5}(x, y) \to (0.5x, 0.5y) \), where \( (x, y) \) are the coordinates of the pre - image point.

Step2: Substitute the coordinates of Q into the rule

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

Answer:

\((0, 1)\)