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 90 degrees clockwise, we can use the following transformation:
Given a point (x, y), the rotated point (x', y') can be found as follows:
x' = y
y' = -x
Let's perform this transformation on the endpoints of the line segment:
Endpoint 1: (0, -3)
x' = -3
y' = -(0) = 0
Therefore, the first endpoint of the rotated line segment is (-3, 0).
Endpoint 2: (0, -7)
x' = -7
y' = -(0) = 0
Therefore, the second endpoint of the rotated line segment is (-7, 0).
So, an endpoint of the rotated segment is (-7, 0).