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
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).