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

Answer:

$d' = (9,3)$

Step-by-step 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:

$d' = (y,-x)$

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

$d' = (9,3)$