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 rotate a point (x, y) clockwise about the origin 90 degrees, we can use the following rotation formula:
x' = x * cos(90°) + y * sin(90°)
y' = -x * sin(90°) + y * cos(90°)
Since sin(90°) = 1 and cos(90°) = 0, the formula simplifies to:
x' = y
y' = -x
Plugging in the coordinates of the given point (1, 2), we get:
x' = 2
y' = -1
Therefore, the new point after rotating the point (1, 2) clockwise about the origin 90 degrees is (2, -1).