Demonstrating the properties of rotations. If a line segments with endpoints (0, -3) and (0, -7) is rotated 90 degrees clockwise what is an endpoint of this rotated segment

Answer 1

To rotate a point (x, y) 90 degrees clockwise, we can use the following transformation equations:

x' = y
y' = -x

Let's apply these equations to the given endpoints (0, -3) and (0, -7):

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

Therefore, the endpoint after rotating 90 degrees clockwise is (-3, 0).

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

Therefore, the endpoint after rotating 90 degrees clockwise is (-7, 0).

Hence, the endpoint of the rotated segment is (-7, 0).