Demonstrating the properties of rotations. If a line segment with endpoints (0,-3) and (0,-7) is rotated 90 degrees clockwise, what is an endpoint of this rotated segment?
To rotate a point (x, y) 90 degrees clockwise, we can swap the x and y coordinates and negate the new x coordinate.
The line segment with endpoints (0, -3) and (0, -7) can also be represented as a vector: (0, -7) - (0, -3) = (0, -4).
Now, let's rotate the vector (0, -4) using the rotation formula:
New x coordinate = -4
New y coordinate = 0
Thus, the endpoint of the rotated segment is (-4, 0).