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 5 right parenthesis

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

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

(8, −5)

Answer 1

To rotate the point (5, 8) 270 degrees clockwise, we can use the rotation transformation rules for 2D coordinates.

When you rotate a point (x, y) by 270 degrees clockwise, the transformation is as follows:

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

Applying this to the point (5, 8):

1. \( x = 5 \) and \( y = 8 \)
2. After the transformation: \[ (5, 8) \rightarrow (8, -5) \]

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

Thus, the correct response is:

(8, −5)