Question

A line segment has endpoints (2,−3) and (1, −4). What are the new endpoints after rotating the segment 90° clockwise?

Answer 1

To rotate a point 90° clockwise, we can use the formula: (x', y') = (y, -x).

Using this formula, we can apply it to each endpoint of the line segment:
For the first endpoint, (2, -3), we have:
x' = -3
y' = 2

Therefore, the new coordinates for the first endpoint after rotating 90° clockwise are (-3, 2).

For the second endpoint, (1, -4), we have:
x' = -4
y' = 1

Therefore, the new coordinates for the second endpoint after rotating 90° clockwise are (-4, 1).

Therefore, the new endpoints after rotating the line segment 90° clockwise are (-3, 2) and (-4, 1).