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What is the new point after rotating the point (3,−5)

180°
clockwise

2 answers

To rotate a point \( (x, y) \) 180° clockwise around the origin, the new coordinates can be found using the following transformation:

\[ (x', y') = (-x, -y) \]

For the point \( (3, -5) \):

  1. Apply the transformation: \[ x' = -3 \] \[ y' = 5 \]

Thus, after rotating the point \( (3, -5) \) 180° clockwise, the new point is \( (-3, 5) \).

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