A line segment has endpoints (2, -1) and (5, -4). What are the new endpoints after rotating the segment 90 degrees clockwise?

Question

A) (2, -1) and (4,5)
B) (-1, -2) and (-4, -5)
C) (-2, -1) and (-5, -4)
D) (-2, 1) and (-5, 4)

Answer 1

Let's find out the new endpoints after rotating the line segment 90 degrees clockwise.

The formula to rotate a point (x, y) 90 degrees clockwise is: (y, -x)

Applying this formula to both endpoints:
1. Endpoint (2, -1) becomes (-1, -2)
2. Endpoint (5, -4) becomes (-4, 5)

Therefore, the new endpoints after rotating the segment 90 degrees clockwise are: B) (-1, -2) and (-4, 5)