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finding the vertex from the pre-image the rule for the dilation of quad…

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{ })
grid image of quadrilateral qrst with q at (0,2), r at (-4,0), s at (0,-4), t at (4,0) on a coordinate plane

Explanation:

Step1: Identify dilation rule

Dilation rule: $(x,y) \to (0.5x, 0.5y)$

Step2: Apply rule to Q(0,2)

Calculate x-coordinate: $0.5 \times 0 = 0$
Calculate y-coordinate: $0.5 \times 2 = 1$

Answer:

(0, 1)