Question

What is the transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the center of dilation?

Answer 1

C(9,3) being dilated by a scale factor of 3 would result in C'(27,9). All I did was multiply the coordinates by 3 since that is the scale factor.

Answer 2

Answer:

The transformation of C(9, 3) when dilated by a scale factor of 3, using the origin as the center of dilation is:

                           C'(27,9)

Step-by-step explanation:

Dilation transformation--

A dilation transformation is a transformation which changes the size of the original figure but the shape remain unchanged.

i.e. if any figure is dilated by a scale factor k with the center of dilation as origin.

Then the change pr transformation in each of the vertices of the figure is given by:

       (x,y) → (kx,ky)

We are given a point C which is located at C(9,3)

Hence, here k=3

Hence, we get:

      C(9,3) → C'(9×3,3×3)

i.e. C(9,3) → C'(27,9)