Rotate the point (5, 8)

Question

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

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

(−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

Answer 1

To rotate a point \( (x, y) \) 180 degrees clockwise about the origin, the new coordinates are given by \( (-x, -y) \).

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

• The new x-coordinate will be \( -5 \)
• The new y-coordinate will be \( -8 \)

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

The correct response is: (−5, −8)