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)

Answer 1

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

(x', y') = (y, -x)

Let's apply this formula to the endpoints of the line segment:

Endpoint 1: (0, -3)
Rotated Endpoint 1: (y, -x) = (-3, 0)
So, one endpoint of the rotated segment is (-3, 0).

Endpoint 2: (0, -7)
Rotated Endpoint 2: (y, -x) = (-7, 0)
So, another endpoint of the rotated segment is (-7, 0).