Question

9. Draw the dilation image of ABCD with the center of dilation at the origin and a scale factor of 2.

Answer 1

We are given the image ABCD with the following coordinates;

$\begin{gathered} A(1,2) \\ B(3,2) \\ C(3,0) \\ D(1,0) \end{gathered}$

The center of dilation is at the origin hence, to dilate this image with a scale factor of 2, we simply multiply the coordinates by 2. This is shown below;

$\begin{gathered} 2\times(1,2)=(2,4) \\ A^{\prime}(2,4) \\ 2\times(3,2)=(6,4) \\ B^{\prime}(6,4) \\ 2\times(3,0)=(6,0) \\ C^{\prime}(6,0) \\ 2\times(1,0)=(2,0) \\ D^{\prime}(2,0) \end{gathered}$

ANSWER:

The coordinates of the image after dilation would be;

$\begin{gathered} A^{\prime}(2,4) \\ B^{\prime}(6,4) \\ C^{\prime}(6,0) \\ D^{\prime}(2,0) \end{gathered}$