Question

A segment with the endpoint X(-6,2) and Y(-1,-3) is rotated 90 degrees about the origin. What are the coordinates of X' and Y'?

1- X' (-1,-3) Y'(-6,2)
2- X' (2,6) Y' (-3,1)
3- X' (-2,-6) Y' (3,-1)
4- X' (6,-1) Y' (1,3)
Thank you for helping, and looking. Thanks,

Answer 1

A rotation of 90° around the Origin gives you two new points (and therefore a new segment) whose coordinates (x',y') are connected to the original ones by the formulas:
x' = -y
y' = x

Therefore:
X' (-2, -6)
Y' (+3, -1)

The correct answer is then option 3.