Rotate the point (5, 8)

Question

on a geometric figure 180 degrees clockwise. What is the new point?(1 point)
Responses

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

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

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

(−5, −8)

Answer 1

To rotate a point \((x, y)\) 180 degrees clockwise around the origin, the new coordinates will be \((-x, -y)\).

Starting with the point \((5, 8)\):

\[ (-x, -y) = (-5, -8) \]

So, the new point after rotating \((5, 8)\) 180 degrees clockwise is \((-5, -8)\).

The correct response is \((-5, -8)\).