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 8 comma 5 right parenthesis

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

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

(−5, 8)

Answer 1

To rotate the point \((5, 8)\) by 180 degrees clockwise, you can use the rule that rotating a point \((x, y)\) by 180 degrees gives you the point \((-x, -y)\).

Applying this to the point \((5, 8)\):

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

Thus, the new point after a 180-degree clockwise rotation is \((-5, -8)\).

So, the correct response is:

\((-5, -8)\)