If a segment has endpoints (0, 4) and (3, 4), how long will the segment be after it is rotated 270° clockwise?(1 point)
units
The length of a segment does not change when it is rotated. Therefore, the length of the segment after it is rotated 270° clockwise will be the same as its original length, which is determined by the distance between its endpoints.
Using the distance formula, we can find the length of the segment:
Length = √((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the coordinates of the endpoints:
Length = √((3 - 0)^2 + (4 - 4)^2)
Length = √(3^2 + 0^2)
Length = √(9 + 0)
Length = √9
Length = 3
Therefore, the length of the segment after it is rotated 270° clockwise will still be 3 units.