Demonstrating the properties of rotations, if a line segment with endpoints (0,−3) and (0,−7) is rotated 90° clockwise, what is an endpoint of this rotated segment?
1.(3, 0)
2.(0, 3)
3.(−3, 0)
4.(0, 7)
To rotate a point (x, y) 90° clockwise, we can use the following formulas:
x' = y
y' = -x
Let's apply these formulas to the endpoint (0, -7):
x' = y = -7
y' = -x = -0 = 0
So, the rotated endpoint is (x', y') = (-7, 0).
Therefore, the correct answer is:
3. (−3, 0)