Triangle ABC has vertex coordinates A(–5, 2), B(–1, 3), and C(–1, 1). It is rotated 90° clockwise around the origin. What are the coordinates of B'?

Answer:
(3,1)
Step-by-step explanation:
The rule for a 90 degree clockwise rotation:
[tex](x,y)\rightarrow(y,-x)[/tex]
B is (-1, 3).
Apply the rule:
[tex]\frac{(-1,3)\rightarrow\boxed{(3,1)}}{(x,y)\rightarrow(y,-x)}\\\\3 * 1 = 3\\\\-1 * -1 = 1[/tex]
Option D should be the correct answer.