The attached figure represents the image of the triangle after a reflection and a dilation
The vertices are given as:
D(0,2) , E(2,4) , and F(4,0) .
The transformations are given as:
The rule of reflection across the x-axis is
(x,y) -> (x,-y)
So, we have:
D' = (0,-2)
E' = (2,-4)
F' = (4,0)
The rule of dilation by a scale factor of 1.5 is:
(x,y) -> 1.5(x,y)
So, we have:
D'' = 1.5 * (0,-2) = (0,-3)
E'' = 1.5 * (2,-4) = (3,-6)
F'' = 1.5 * (4,0) = (6,0)
See attachment for the image of the triangle
Read more about transformation at:
https://brainly.com/question/4289712
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