Question

Write the coordinates of the vertices after a dilation with a scale factor of 1/3, centered at the origin.R (-9, 9)R' (___,___)

Answer 1

By definition, Dilation is a transformation in which the Image (the figure obtained after the transformation) and the Pre-Image (the original figure) have the same shape, but they have different size.

In this case, you know have the following vertex (the Pre-Image):

`R(-9,9)`

And you know that it is dilated, centered at the origin, with the following scale factor:

`s.factor=(1)/(3)`

Therefore, the rule for this transformation is:

`(x,y)\rightarrow((1)/(3)x,(1)/(3)y)`

Based on this, you get:

`R(-9,9)\rightarrow R^(\prime)((-9)/(3),(9)/(3))\rightarrow R^(\prime)(-3,3)`

Therefore, the answer is:

`R^(\prime)(-3,3)`