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Sagot :
STEPS to find the find the scale factor given a center of dilation an image and a Preimage are given below
What is Scale factor, pre-image and dilation?
Dilation: A dilation is a stretch or a contraction in a figure or point's size and placement.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.
Scale Factor: In a dilatation, the scale factor refers to how much the figure is enlarged or contracted.
Step 1:
By comparing the length of one side of the pre-image to the corresponding side of the post-image, one may determine the dilation scale factor. The pre-image must be multiplied by the scaling factor to equal the post-image. If the side of the pre-image is the length of [tex]lpre[/tex]and the length of the corresponding side of the post-image is [tex]lpost[/tex],
, then the scale factor is given by k in the equation = [tex]lpre[/tex] [tex]k[/tex]=[tex]lpost[/tex].
We can solve for k algebraically.
Step 2:-
Choose a matching group of spots on the pre-image and picture. the main point
(x1,y1) being the focal point of the pre-image (x2,y2) be the Centre of the enlarged picture.
By resolving the following two equations, you may get the coordinates of the Centre of dilation,
Step 3:-
Find the coordinate of center of dilation,
[tex]x_{0}=\frac{kx1 - x2}{k-1} \\\\y_{0}=\frac{ky1 - y2}{k -1}[/tex]
Learn more about Dilation and scale factor from the link below
brainly.com/question/29229399
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