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?

Question

A. (-3,0)
B. (3,0)
C. (0,7)
D. (0,3)

Answer 1

To rotate a point 90° clockwise, we swap the x and y coordinates, and negate the new x coordinate.

Given the endpoints (0,-3) and (0,-7), if we apply this rotation, the new endpoints will be (-(-3),0) and (-(-7),0), which simplify to (3,0) and (7,0), respectively.

Since we are only looking for one endpoint of the rotated segment, the answer is (3,0).

Therefore, the correct option is B. (3,0).

Answer 2

the correct answer is (-3,0)

Answer 3

Apologies for the mistake. You are correct.

To rotate a point 90° clockwise, we swap the x and y coordinates, and negate the new y coordinate.

Given the endpoints (0,-3) and (0,-7), if we apply this rotation, the new endpoints will be (-3,0) and (-7,0), respectively.

Since we are looking for one endpoint of the rotated segment, the answer is (-3,0).

Therefore, the correct option is A. (-3,0).