Respuesta :
The coordinates of the point after dilation is calculated as (0,3) using the given data.
What is the dilation factor?
- The dilation scale factor specifies the change in size of the figure.
- An enlargement is defined as a scale factor x > 1 (more than 1). A reduction is a scale factor of 0 x 1 (higher than 0 but less than 1).
- Formula for finding coordinates after dilation: [k(x-a)+a, k(y-b)+b]
Where,
(a,b) = Coordinates of centre
(x,y) = Coordinates of point
k = scale factor
Given:
Coordinates of point(x,y) = (-2,1)
Centre(a,b) = (2,5)
Scale factor(k) = 1/2
Using the formula to find the coordinates,
D(x,y) = [k(x-a)+a, k(y-b)+b]
=[1/2(-2-2)+2,1/2(5-1)+1]
=[-2+2,3]
=(0,3)
Therefore, the coordinates of the point after dilation is calculated as (0,3) using the given data.
Learn more about dilation here:
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