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

When you rotate a point \((x, y)\) 270 degrees clockwise, it is equivalent to rotating it 90 degrees counterclockwise. The formula for rotating a point \((x, y)\) 90 degrees counterclockwise is given by:

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

For the point \((5, 8)\):

1. Apply the rotation formula:
\[
x' = -y = -8
\]
\[
y' = x = 5
\]

So, the new point after a 270-degree clockwise rotation is \((-8, 5)\).

The new point is: \((-8, 5)\).