Question

Dilate the Rectangle shown by a scale factor of 1\3

Answer 1

We have the following:

The first thing is to calculate the points in the Cartesian plane for A, B, C and D.

`\begin{gathered} A(-6,3) \\ B(6,3) \\ C(6,-3) \\ D\mleft(-6,-3\mright) \end{gathered}`

Now we apply the scale factor 1/3:

`\begin{gathered} A(-6,3)\rightarrow A^(\prime)((1)/(3)\cdot-6,(1)/(3)\cdot3)\rightarrow A^(\prime)(-2,1) \\ B(6,3)\rightarrow B^(\prime)((1)/(3)\cdot6,(1)/(3)\cdot3)\rightarrow B^(\prime)(2,1) \\ C(6,-3)\rightarrow C^(\prime)((1)/(3)\cdot6,(1)/(3)\cdot-3)\rightarrow C^(\prime)(2,-1) \\ D\mleft(-6,-3\mright)\rightarrow D^(\prime)((1)/(3)\cdot-6,(1)/(3)\cdot-3)\rightarrow D^(\prime)(-2,-1) \end{gathered}`

Now we graph this and we have