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

1 answer

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.
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