Question

Demonstrating the properties of rotations, if a line segment with endpoints (0, -3) and (0, -7) is rotated 90° clockwise, what is an endpoint of this rotated segment? (1 point)
• (0, 3)
• (-3, 0)
• (3, 0)
• (0, 7)

Answer 1

To rotate a point 90° clockwise about the origin, we can switch the x and y coordinates and negate the new x coordinate.

Given the line segment with endpoints (0, -3) and (0, -7), we can rotate the first endpoint (0, -3) as follows:

Switching the x and y coordinates, we get (-3, 0).
Negating the new x coordinate, we get (3, 0).

Therefore, the endpoint of the rotated segment is (3, 0).

Therefore, the correct answer is (3, 0).