Question

Dilate the figure by the scale factor. Then enterthe new coordinates.A(1,3)B(4,2)K=3A’([?],[]).B'([10]C'([],[:]C(1,-3)Enter

Answer 1

The new coordinates after the dilation are as follows;

`\begin{gathered} A^(\prime)\text{ (3,9)} \\ B^(\prime)\text{ (12,6)} \\ C^(\prime)\text{ (3,-9)} \end{gathered}`

Here, we want to perform a dilation

Given a pre-image with coordinates (x,y) and a scale factor of k, the coordinates of the image will be;

`(x,y)\text{ = (kx,ky)}`

Applying this to the given coordinates, we have;

`\begin{gathered} A^(\prime)\text{ = }(3*1,3*3)\text{ = (3,9)} \\ B^(\prime)=\text{ (4}*3,\text{ 2}*3)\text{ = (12,6)} \\ C^(\prime)\text{ = (1}*3,\text{ -3}*3)\text{ = (3,-9)} \end{gathered}`