Transforming the rhombus JKLM by dilation with a scale factor of 1/4 and center at D(0, 3), gives;
<h3>What formula can be used to find the coordinates of the image following a dilation?</h3>
From the question, we have;
Center of dilation = D(0, 3)
Scale factor of dilation = 1/4
The given points are;
The required points are J' and L
Given that the x-coordinate of <em>J </em>is the same as the center of dilation, we have;
The x-coordinate of <em>J' </em>= 0
The formula for finding the coordinates following a dilation is presented as follows;
Dilation;
(x, y) → (k(x - a) + a, k(y - b) + b)
Where;
Center of dilation = (a, b)
Scale factor = k
Therefore;
J(0, 1)
J'(0.25•(0 - 0) + 0, 0.25•(1 - 3) + 3)
The coordinates of <em>J' </em>is therefore;
L'(-4, 7) = L(0.25(x - 0) + 0, 0.25(y - 3) + 3)
0.25(x - 0) + 0 = -4
Therefore;
x = -16
0.25•(y - 3) + 3 = 7
y - 3 = (7 - 3)/0.25 = 16
y = 19
- The coordinates of <em>L </em>is<em> </em>therefore (-16, 19)
Learn more about dilation transformation here:
brainly.com/question/14263066
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