To rotate the endpoints of the line segment \( (2, -1) \) and \( (5, -4) \) by 90 degrees clockwise, we can use the following transformation for a point \( (x, y) \):
\[ (x, y) \rightarrow (y, -x) \]
Let's apply this transformation to each endpoint.
-
For the first endpoint \( (2, -1) \): \[ (2, -1) \rightarrow (-1, -2) \]
-
For the second endpoint \( (5, -4) \): \[ (5, -4) \rightarrow (-4, -5) \]
So, the new endpoints after rotating the segment 90 degrees clockwise are \( (-1, -2) \) and \( (-4, -5) \).
1 answer