Given a point (x, y) on a geometric figure, what is the new point when tje figure is rotated counterclockwise about the origin 180 degrees
To rotate a point (x, y) counterclockwise about the origin by 180 degrees, we can use the following formulas:
new_x = -x
new_y = -y
So the new point after the rotation would be (-x, -y).
To find the new point after rotating a point (x, y) counterclockwise about the origin by 180 degrees, you can use the following steps:
1. Multiply both the x-coordinate and the y-coordinate by -1. This will preserve the distance from the origin but change the direction.
Let's call the new coordinates (x', y').
The formula to calculate the new coordinates is:
x' = -x
y' = -y
For example, if your original point is (3, 4), the new point after rotation will be:
x' = -3
y' = -4
Therefore, the new point after rotating (3, 4) counterclockwise by 180 degrees about the origin is (-3, -4).