Given a point on a geometric figure (1,2) what is the new point when the point is rotated clockwise about the origin 90 degrees
To find the new point when rotating a point about the origin, we can use the following rotation formula:
x' = x*cos(θ) - y*sin(θ)
y' = x*sin(θ) + y*cos(θ)
Where (x, y) are the original coordinates of the point, (x', y') are the new coordinates after rotation, and θ is the angle of rotation.
In this case, we want to rotate the point (1, 2) clockwise about the origin by 90 degrees. So, θ = 90°.
Applying the rotation formula:
x' = 1*cos(90°) - 2*sin(90°)
= 1*0 - 2*1
= -2
y' = 1*sin(90°) + 2*cos(90°)
= 1*1 + 2*0
= 1
Therefore, the new point after rotating (1, 2) clockwise about the origin by 90 degrees is (-2, 1).
No it is not (-2, 1), its (2, -1) 🙄
To rotate a point (x, y) clockwise about the origin by 90 degrees, we need to interchange the x and y coordinates, and then change the sign of the new x coordinate.
Given the point (1, 2), let's calculate the new point:
1. Interchange the x and y coordinates: (2, 1)
2. Change the sign of the new x coordinate: (-2, 1)
So, when the point (1, 2) is rotated clockwise about the origin by 90 degrees, the new point is (-2, 1).