If a segment has endpoints (0, 4) and (3, 4), how long will the segment be after it is rotated 270° clockwise?
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To find the length of the segment after it is rotated 270° clockwise, we need to calculate the distance between the new endpoints.
The original segment has endpoints (0, 4) and (3, 4). After rotating 270° clockwise, the new endpoints will be (-4, 0) and (-4, 3).
To calculate the length of the segment, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the formula, we have:
d = sqrt((-4 - (-4))^2 + (3 - 0)^2)
= sqrt(0 + 9)
= sqrt(9)
= 3
Therefore, the length of the segment after rotating 270° clockwise is 3 units.