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 negative 8 comma 5 right parenthesis

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

(−8, −5)

Answer 1

To rotate a point (x, y) 270 degrees clockwise, you can use the following transformation:

\[ (x, y) \to (y, -x) \]

For the point (5, 8):

1. Identify x and y: \(x = 5\) and \(y = 8\).
2. Apply the transformation: \[ (5, 8) \to (8, -5) \]

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

Therefore, the correct response is:

(8, −5).