Question

Polygon ABCD is defined as points A(-5,1), B(-4,3), C(-2,7),D(-1,2). If the polygon rotates 90 degrees counterclockwise to create polygon A’B’C’D’, what are the coordinates of C’

Answer 1

That would be (-7, -2)  Answer

Answer 2

(x, y) 90° counterclockwise ⇒ (-y, x)

A(-5, 1) ⇒ (-1, -5)
B(-4, 3) ⇒ (-3, -4)
C(-2, 7) ⇒ (-7, -2)
D(-1, 2) ⇒ (-2, -1)

Cords of C: (-7, -2)