The coordinates of the image after a dilation with respect to the origin is A'' (2,10), B" (0,4), C" (4,2) .
<h3>How does dilation work?</h3>
Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.
Its also called scaling of a figure, but due to the involvement of coordinates, it involves a center of a dilation, which is like a pinned point that stays at the same place after dilation.
Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).
The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1).
A' = 2(2.5) = (4,10)
B' = 2(1,2) = (2,4)
C' = 2(3,1) = (6,2)
Translation of 2 units left means change in x
A'' = (4-2,10) = (2,10)
B" = (2-2,4) = (0,4)
C" = (6-2,2) = (4,2)
Translation of 1 units up means change in y
Learn more about vertices ;
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