Question

Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point?(1 point)

(8, 5)
(−8, 5)
(−8, −5)
(8, −5)

Answer 1

To rotate a point (x, y) around the origin (0, 0) by 270 degrees clockwise, you can use the following transformation:

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

So for the point (5, 8):

1. \( x = 5 \)
2. \( y = 8 \)

Applying the transformation:

\[
(5, 8) \rightarrow (8, -5)
\]

Thus, the new point after rotating (5, 8) by 270 degrees clockwise is (8, -5).

The correct answer is:

**(8, −5)**