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

Question

asked Oct 1, 2018 37.1k views

2 Answers

Sungho · Answer 1 · 2018-10-02T07:24:46+0000

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.

Delta · Answer 2 · 2018-10-08T03:32:30+0000

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)

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)