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?

To rotate a point 90° clockwise about the origin, we swap the x and y coordinates and negate the new x coordinate.

Let's rotate the endpoint (0, -3) using this property:

New x coordinate = -(-3) = 3
New y coordinate = 0

Therefore, the new endpoint after rotating 90° clockwise is (3, 0).