Question

Dialate about the origin using a scale factor of 1/3

Answer 1

To determine the post image coordinates after a dilation centered about the origin, we will simply multiply each of the coordinates by the given scale factor of 1/3.

Let's start with Point A.

`(-12*(1)/(3),24*(1)/(3))\Rightarrow(-4,8)`

The post image coordinate of A is at (-4, 8).

Moving on to Point B.

`(-30*(1)/(3),0*(1)/(3))\Rightarrow(-10,0)`

The post image coordinate of B is at (-10, 0).

Lastly to Point C.

`(-36*(1)/(3),36*(1)/(3))\Rightarrow(-12,12)`

The post image coordinate of C is at (-12, 12).