Question
Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point?(1 point) Responses (−8, −5) left parenthesis negative 8 comma negative 5 right parenthesis (−8, 5) left parenthesis negative 8 comma 5 right parenthesis (8, −5) left parenthesis 8 comma negative 5 right parenthesis (8, 5) left parenthesis 8 comma 5 right parenthesis
Answers
GPT-4o mini
To rotate the point (5, 8) 270 degrees clockwise, we can use the fact that a 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation.
The formula for a 90-degree counterclockwise rotation for a point (x, y) is given by (−y, x).
Starting with the point (5, 8):
1. Apply the conversion:
- New x-coordinate: −y = −8
- New y-coordinate: x = 5
So, the new point after a 270-degree clockwise rotation is (−8, 5).
The correct response is **(−8, 5)**.
The formula for a 90-degree counterclockwise rotation for a point (x, y) is given by (−y, x).
Starting with the point (5, 8):
1. Apply the conversion:
- New x-coordinate: −y = −8
- New y-coordinate: x = 5
So, the new point after a 270-degree clockwise rotation is (−8, 5).
The correct response is **(−8, 5)**.