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)?
(\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 coordinate of the pre - image point.

Step2: Substitute the coordinates of Q into the rule

Given \( Q(0, 2) \), so \( x = 0 \) and \( y = 2 \).
Substitute \( x = 0 \) and \( y = 2 \) into \( (0.5x, 0.5y) \):
For the x - coordinate of \( Q' \): \( 0.5\times0=0 \)
For the y - coordinate of \( Q' \): \( 0.5\times2 = 1 \)

Answer:

\((0, 1)\)