(0, - 3) Demonstrating the properties of rotationsa segment with endpoints and (0, - 7); 90^ - , what is an endpoint of this rotated segment (- 3, 0); (0, 5); (3, 6); (0, 7)
To find the endpoint of the segment after a 90° counterclockwise rotation, we can use the following formula for a counterclockwise rotation about the origin (0,0):
(x', y') = (-y, x)
Applying this formula to each endpoint of the segment, we get:
Endpoint (0, -7):
x' = -(-7) = 7
y' = 0
Endpoint (-3, 0):
x' = 0
y' = -(-3) = 3
Thus, the endpoint of the rotated segment is (7, 0).