Question

On a coordinate plane, which single transformation could map point A (3,-4) onto point A' (1.5,-2)? *

Answer 1

Answer: A dilation with rule:
`(x,y)\to(\frac12x,\frac12y)`

Step-by-step 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

`(x,y)\to(kx,ky)`

(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=
`\frac12`, we have

`A(3,-4)\to A'(\frac12*3, \frac12*-4)=A'(1.5,-2)`

Required rule:
`(x,y)\to(\frac12x,\frac12y)`