Question

If a segment has endpoints (0, 4)
and (3, 4)
, how long will the segment be after it is rotated 270°
clockwise?(1 point)

Answer 1

When a segment is rotated clockwise by 270°, it will end up in the same position as if it had been rotated 90° counterclockwise.

So, to find the length of the segment after it is rotated 270° clockwise, we need to find the length of the segment after it is rotated 90° counterclockwise.

After rotating 90° counterclockwise, the endpoints of the segment will be (-4, 0) and (-4, -3).

Using the distance formula, we can find the length of the segment:
√[(-4 -(-4))² + (0 - (-3))²]
= √[(0)² + (3)²]
= √[9]
= 3

Therefore, the length of the segment after it is rotated 270° clockwise is 3 units.