Question

The line segment cd with endpoints c(5,-7) and (-3,9) is rotated 270 about the origin. What is the coordinate of d?

Answer 1

`d' = (9,3)`

Explanation:

Given

`c = (5,-7)`

`d = (-3,9)`

Transformation: 270 degrees rotation

Required

Determine the coordinates of d

I'll treat the question as: Determine the coordinates of d after the transformation

When a coordinate point d(x,y) is rotated 270 degrees about the origin, the new image of the point is: d'(y,-x)

In this case:
`d = (-3,9)`

`x = -3`

`y = 9`

So, the image of d is:

`d' = (y,-x)`

`d' = (9,-(-3))`

`d' = (9,3)`