Answer: A dilation with rule: [tex](x,y)\to(\dfrac12x,\dfrac12y)[/tex]
Explanation:
A dilation is a non-rigid transformation that creates an image that is the same shape as the original but has a different size.
It uses a scale factor k such that
[tex](x,y)\to(kx,ky)[/tex]
(x,y)= coordinates of original figure
(kx,ky) = corresponding coordinate in the image.
To transform: A (3,-4) onto point A' (1.5,-2).
Using scale factor k= [tex]\dfrac12[/tex], we have
[tex]A(3,-4)\to A'(\dfrac12\times3, \dfrac12\times-4)=A'(1.5,-2)[/tex]
Required rule: [tex](x,y)\to(\dfrac12x,\dfrac12y)[/tex]
