Question

Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point?(1 point) Responses (−8, −5) left parenthesis negative 8 comma negative 5 right parenthesis (8, 5) left parenthesis 8 comma 5 right parenthesis (8, −5) left parenthesis 8 comma negative 5 right parenthesis (−8, 5)

Answer 1

To rotate the point (5, 8) 270 degrees clockwise, we can follow a systematic method or use the rotation formulas.

Rotating a point (x, y) 270 degrees clockwise can be achieved by using the equivalent of a 90 degrees counterclockwise rotation. The formula for rotating a point (x, y) 90 degrees counterclockwise is given by:

\[
(x, y) \rightarrow (-y, x)
\]

For a 270 degrees clockwise rotation, we apply the 90 degrees counterclockwise formula:

1. Start with the point (5, 8).
2. Apply the transformation:
\[
(5, 8) \rightarrow (-8, 5)
\]

Thus, after rotating the point (5, 8) 270 degrees clockwise, the new point is:

\[
\boxed{(-8, 5)}
\]