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?

Question

a (0,7)
b (3,0)
c (-3,0)
d (0,3)

Answer 1

To rotate a point clockwise by 90 degrees, you switch the sign of its x-coordinate and swap its x and y coordinates.

Given the line segment with endpoints (0, -3) and (0, -7), let's rotate the endpoint (0, -7) by 90 degrees clockwise.

Switching the sign of the x-coordinate gives us (0, 7).

Swapping the x and y coordinates gives us (7, 0).

Therefore, the endpoint of the rotated segment is (7, 0).

So, the correct answer is b) (7, 0).