To rotate a point (x, y) counterclockwise 270 degrees about the origin, we can use the equations:
x′ = x * cos(270) - y * sin(270)
y′ = x * sin(270) + y * cos(270)
Since cos(270) = 0 and sin(270) = -1, the equations simplify to:
x′ = -y
y′ = x
Substituting the given coordinates (5, 8) into the equations:
x′ = -8
y′ = 5
Therefore, the new point after rotating 270 degrees counterclockwise is (-8, 5).
The correct answer is C. (8, 5).
What is the new point when you rotate a geometric figure with point (5, 8) 270 degrees counterclockwise about the origin?(1 point)
Responses
A.(8, −5)
B.(−8, −5)
C.(8, 5)
D.(−5, 8)
1 answer