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)
Responses
(0, 3)
left parenthesis 0 comma 3 right parenthesis
(3, 0)
left parenthesis 3 comma 0 right parenthesis
(0, 7)
left parenthesis 0 comma 7 right parenthesis
(−3, 0)
left parenthesis negative 3 comma 0 right parenthesis
To rotate a point 90° clockwise, we need to switch the x and y coordinates and negate the new x coordinate.
The original endpoints are (0, -3) and (0, -7).
Rotating the first endpoint, we switch the coordinates: (-3, 0). Then, we negate the x coordinate: (3, 0).
So, the endpoint of the rotated segment is (3, 0).