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 8 right parenthesis

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

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

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

Answer 1

To rotate the point (5, 8) 180 degrees clockwise around the origin, we can use the rule for a 180-degree rotation, which is to change the signs of both the x and y coordinates.

Starting with the point (5, 8), after a 180-degree rotation:

• The new x-coordinate will be -5 (change the sign of 5).
• The new y-coordinate will be -8 (change the sign of 8).

Therefore, the new point after the rotation is (-5, -8).

The correct answer is:

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