Question

Dilate the figure below by a factor of half the respect to the origin

Answer 1

- The original image has the following coordinates

`\begin{gathered} A(0,3) \\ B(3,3) \\ C(3,0) \\ D(0,0) \end{gathered}`

- 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:

`\begin{gathered} A(0,3)\to A^(\prime)(0,(3)/(2)) \\ B(3,3)\to B^(\prime)((3)/(2),(3)/(2)) \\ C(3,0)\to C^(\prime)((3)/(2),0) \\ D(0,0)\to D^(\prime)(0,0) \end{gathered}`

- 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