Question

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'?

1) (-3, -1)
2) (1, -3)
3) (3, 1)
4) (-1, -3)

Answer 1

The coordinates of point B after a 90° clockwise rotation around the origin are (3, 1). This is a result of applying the rotation transformation to the original coordinates of B.

Step-by-step explanation:

To determine the coordinates of point B' after triangle ABC is rotated 90° clockwise around the origin, we can apply a rotation transformation. Specifically, when a point (x, y) is rotated 90° clockwise, the new coordinates become (y, -x). Given that point B has the coordinates (–1, 3), when rotated 90° clockwise, these coordinates will change to (3, 1), because we switch the x and y values and negate the new y value.