Rotate the point (5, 8)

Question

on a geometric figure 270 degrees clockwise. What is the new point?(1 point)
Responses

(8, −5)
left parenthesis 8 comma negative 5 right parenthesis

(8, 5)
left parenthesis 8 comma 5 right parenthesis

(−8, 5)
left parenthesis negative 8 comma 5 right parenthesis

(−8, −5)

Answer 1

To rotate the point (5, 8) 270 degrees clockwise, you can follow these steps:

1. Understand the rotation: A 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation.

2. Use the rotation formula: The transformation for a 90-degree counterclockwise rotation of a point \((x, y)\) is given by \((-y, x)\).

3. Apply the formula to the point (5, 8):

   • \(x = 5\)
   • \(y = 8\)
   • After the rotation: \[ (-y, x) = (-8, 5) \]

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

So the answer is \(\boxed{(-8, 5)}\).