Rotations Quick Check1 of 51 of 5 ItemsQuestionDemonstrating 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, 7) left parenthesis 0 comma 7 right parenthesis(−3, 0)left parenthesis negative 3 comma 0 right parenthesis(0, 3) left parenthesis 0 comma 3 right parenthesis(3, 0)

(7, 0)

tell me how its (7,0)

Apologies for the mistake in my previous response.

To find the endpoint of the segment after rotating it 90° clockwise, we need to apply the rotation formula.

The rotation of a point (x, y) around the origin (0, 0) by 90° clockwise can be represented as follows:
(x', y') = (y, -x)

For the given segment with endpoints (0, -3) and (0, -7), let's apply the rotation formula to find the endpoint after rotating it 90° clockwise:

For the first endpoint (0, -3):
(x', y') = (-3, -0) = (-3, 0)

For the second endpoint (0, -7):
(x', y') = (-7, -0) = (-7, 0)

Therefore, the endpoint after rotating the segment 90° clockwise is (0, 7).