The transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the centre of dilation is C'(27,9).
The given coordinate is C(9, 3) and a scale factor is 3.
Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
If any figure is dilated by a scale factor k with the centre of dilation as the origin.
Then the change pr transformation in each of the vertices of the figure is given by (x,y) ⇒ (kx, ky).
Here, k=3.
So, C(9,3) ⇒ C'(9×3,3×3)
= C(9,3) ⇒ C'(27,9)
Therefore, the transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the centre of dilation is C'(27,9).
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