A line segment has endpoints (2,-1) and (5, -4). What are the new endpoints after rotating the segment 90 degrees clockwise?
To rotate a point (x, y) 90 degrees clockwise, we can use the formulas:
x_new = y
y_new = -x
Let's apply these formulas to both endpoints of the line segment.
For the first endpoint (2, -1):
x_new = -1
y_new = -2
So the new endpoint after rotating 90 degrees clockwise is (-1, -2).
For the second endpoint (5, -4):
x_new = -4
y_new = -5
So the new endpoint after rotating 90 degrees clockwise is (-4, -5).
Therefore, the new endpoints after rotating the line segment 90 degrees clockwise are (-1, -2) and (-4, -5).
To rotate a point (x, y) 90 degrees clockwise, we can use the following formula:
New_x = y
New_y = -x
Let's apply this formula to each endpoint of the line segment:
For the endpoint (2, -1):
New_x = -1
New_y = -2
So the new coordinates for this endpoint after rotation 90 degrees clockwise are (-1, -2).
For the endpoint (5, -4):
New_x = -4
New_y = -5
So the new coordinates for this endpoint after rotation 90 degrees clockwise are (-4, -5).
Therefore, the new endpoints after rotating the line segment 90 degrees clockwise are (-1, -2) and (-4, -5).