Demonstrating the properties of rotation, if a line segment with endpoints (0, -3) and (0, -7) is rotates 90 degrees clockwise, what is an endpoint of this rotated segment?
A) (0, 7)
B) (-3, 0)
C) (0, 3)
D) (3, 0)
To rotate a point 90 degrees clockwise about the origin in a coordinate plane, we can use the following formulas:
New x-coordinate = original y-coordinate
New y-coordinate = negative of the original x-coordinate
For the first endpoint (0, -3):
New x-coordinate = -3
New y-coordinate = 0
So the first endpoint after rotation is (-3, 0).
For the second endpoint (0, -7):
New x-coordinate = -7
New y-coordinate = 0
So the second endpoint after rotation is (-7, 0).
Thus, the correct answer is B) (-3, 0).