Given a point on a line segment (−4, −6) , what is the new point when the point is rotated clockwise about the origin 90 degrees?
A. (−6, 4)
B. (−6, −4)
C. (4, 6)
D. (−4, 6)
To rotate a point (x, y) 90 degrees clockwise about the origin, we can use the formulas:
x' = y
y' = -x
Applying these formulas to the given point (-4, -6), we get:
x' = -6
y' = 4
Therefore, the new point after rotating 90 degrees clockwise is (-6, 4).
So, the answer is A. (−6, 4)
Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point?
A. (−8, −5)
B. (8, −5)
C. (8, 5)
D. (−8, 5)
To rotate a point (x, y) 270 degrees clockwise on a geometric figure, we can use the formulas:
x' = y
y' = -x
Applying these formulas to the given point (5, 8), we get:
x' = 8
y' = -5
Therefore, the new point after rotating 270 degrees clockwise is (8, -5).
So, the answer is B. (8, -5).
Rotate the point (−4, −6) on a geometric figure 90 degrees counterclockwise. What is the new point?
A. (6, −4)
B. (6, 4)
C. (−6, 4)
D. (−6, −4)
To rotate a point (x, y) 90 degrees counterclockwise on a geometric figure, we can use the formulas:
x' = -y
y' = x
Applying these formulas to the given point (-4, -6), we get:
x' = 6
y' = -4
Therefore, the new point after rotating 90 degrees counterclockwise is (6, -4).
So, the answer is A. (6, -4).
Rotate the point (9, 5) on a geometric figure 270 degrees clockwise. What is the new point?
A. (5, 9)
B. (−5, 9)
C. (−9,−5)
D. (−5,−9)
To rotate a point (x, y) 270 degrees clockwise on a geometric figure, we can use the formulas:
x' = -y
y' = x
Applying these formulas to the given point (9, 5), we get:
x' = -5
y' = 9
Therefore, the new point after rotating 270 degrees clockwise is (-5, 9).
So, the answer is B. (-5, 9).