Question

A line segment with endpoints (5,8) and (-6,8) is rotated around the origin 270 clockwise how long will the new segment be?

Answer 1

A rotation doesn't change the length of anything.

The length of the rotated line segment would be the same as the original line segment.

Because both Y values are the same, you just need to calculate the length of the X values.

5 to 0 = 5

0 to -6 = 6

Total length = 5 +6 = 11 units long.