Question

What is the image point of (8, -10) after the transformation r y=-x D1/2?

Answer 1

(5, -4)

Step-by-step explanation:

Given the point:

`(8,-10)`

If a point (x,y) is reflected over the line y=-x,the transformation rule is:

`(x,y)\to(-y,-x)`

Thus, we have:

`(8,-10)\to(10,-8)`

Next, a dilation by a constant factor 1/2 gives us:

`\begin{gathered} ((10)/(2),-(8)/(2)) \\ =(5,-4) \end{gathered}`

The image point is (5,-4).