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 point)
(0, 7)
(0, 3)
(−3, 0)
(3, 0)
To rotate a point 90° clockwise, you can use the following transformation rules:
(x, y) → (y, -x)
Let's apply these rules to the given endpoints:
For the first endpoint (0, -3):
(0, -3) → (-3, 0)
For the second endpoint (0, -7):
(0, -7) → (-7, 0)
So, the new endpoints after rotating the line segment 90° clockwise are (-3, 0) and (-7, 0).
However, the question asks for only one endpoint. Since we rotated the segment clockwise, the endpoint that is clockwise from the original segment is (-3, 0).
Therefore, the correct answer is (−3, 0).