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:

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

Now we graph this and we have

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