Solution
- The original image has the following coordinates
[tex]\begin{gathered} A(0,3) \\ B(3,3) \\ C(3,0) \\ D(0,0) \end{gathered}[/tex]
- In order to dilate the figure by a factor of 1/2 with respect to the origin, we simply need to multiply each coordinate point by 1/2.
- This is done below:
[tex]\begin{gathered} A(0,3)\to A^{\prime}(0,\frac{3}{2}) \\ B(3,3)\to B^{\prime}(\frac{3}{2},\frac{3}{2}) \\ C(3,0)\to C^{\prime}(\frac{3}{2},0) \\ D(0,0)\to D^{\prime}(0,0) \end{gathered}[/tex]
- We can plot the points of the original and dilated image as follows.
- The original image is shown below:
- The dilated image is:
- An image with both figures is given below for a better perspective
