I was able to find the image associated with this question, in which the coordinates of point Z are given as (-2,-1).
We know that the coordinates of a point are multiplied by the scale factor to give the new coordinates. Since these coordinates result after the dilation, we divide them by the scale factor to obtain the original coordinates as such:
-2/0.25 , -1/0.25
(-8 , -4)
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Coordinate of Z of the pre-image is (-8, -4).
In dilation of coordinate, we multiply by a scale factor to both x and y coordinate of given point.
In given question Triangle XYZ was dilated using the rule , 0.25 (x, y) → (0.25x, 0.25y). It means that both x and y coordinate are multiplied by 0.25.
After dilation, coordinate of triangle XYZ are given as
X(–8, –4) , Y (–8, 2), Z (–2, –1)
To find coordinate of Z of the pre image divide by 0.25 because 0.25 is multiplied as scale factor during dilation.
So, coordinate of Z of the pre image = (-2/0.25 , -1/0.25)
= (-8, -4)
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