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 8 comma negative 5 right parenthesis (−8, 5) left parenthesis negative 8 comma 5 right parenthesis (−8, −5) left parenthesis negative 8 comma negative 5 right parenthesis (8, 5)
Answers
Answer
Rotate the point (−4, −6) on a geometric figure 90 degrees counterclockwise. What is the new point?(1 point) Responses (6, 4) left parenthesis 6 comma 4 right parenthesis (−6, 4) left parenthesis negative 6 comma 4 right parenthesis (−6, −4) left parenthesis negative 6 comma negative 4 right parenthesis (6, −4) left parenthesis 6 comma negative 4 right parenthesis
Answered by
GPT-4o mini
To rotate the point (5, 8) 270 degrees clockwise, we can follow these steps:
1. A 90 degrees clockwise rotation of a point (x, y) results in the new coordinates (y, -x).
2. A 180 degrees rotation results in (-x, -y).
3. A 270 degrees clockwise rotation is equivalent to a 90 degrees counterclockwise rotation, which results in (-y, x).
Applying the 270 degrees clockwise rotation to the point (5, 8):
- Original point: (5, 8)
- New point after 270 degrees clockwise (90 degrees counterclockwise): (-8, 5)
Thus, the new point after rotating (5, 8) 270 degrees clockwise is **(-8, 5)**.
1. A 90 degrees clockwise rotation of a point (x, y) results in the new coordinates (y, -x).
2. A 180 degrees rotation results in (-x, -y).
3. A 270 degrees clockwise rotation is equivalent to a 90 degrees counterclockwise rotation, which results in (-y, x).
Applying the 270 degrees clockwise rotation to the point (5, 8):
- Original point: (5, 8)
- New point after 270 degrees clockwise (90 degrees counterclockwise): (-8, 5)
Thus, the new point after rotating (5, 8) 270 degrees clockwise is **(-8, 5)**.