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 negative 8 comma 5 right parenthesis

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

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

(8, 5)

Answer 1

To rotate the point (5, 8) 270 degrees clockwise, we can follow these steps:

1. Understand the rotation:

   • A rotation of 270 degrees clockwise is equivalent to a rotation of 90 degrees counterclockwise.

2. Apply the transformation:

   • The transformation rules for rotating a point (x, y) are:
     • 90 degrees counterclockwise: (x, y) becomes (-y, x).
     • Therefore, for 270 degrees clockwise: (x, y) becomes (y, -x).

3. Rotate (5, 8) 270 degrees clockwise:

   • Using the rule: (5, 8) becomes (8, -5).

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

The correct response is: (8, −5).