Question

Point B is the original point before rotating. Which point represents B' after B(5,2) is rotated 90 degrees clockwise?
*
1 point
B'(5,-2)
B'(-2,-5)
B'(-5,2)
B'(2,-5)

Answer 1

To perform a 90-degree clockwise rotation on a point (x, y), the new coordinates (x', y') can be calculated using the transformation:

\[
(x', y') = (y, -x)
\]

Given the point B(5, 2):

1. Identify x and y:
- x = 5
- y = 2

2. Apply the transformation:
- x' = y = 2
- y' = -x = -5

Thus, the new coordinates after the rotation will be:

\[
B' = (2, -5)
\]

The point that represents B' after the rotation is \( B'(2, -5) \). Therefore, the correct answer is:

**B'(2, -5)**.